Maths-
General
Easy

Question

Rewrite the equation y equals square root of fraction numerator x minus 48 over denominator 6 end fraction end root to isolate x.

hintHint:

Rearrange the equation and then solve for x.

The correct answer is: ⇒x=6y^2+48


    Complete step by step solution:
    Here we have the equation y equals square root of fraction numerator x minus 48 over denominator 6 end fraction end root
    Now, on squaring both the sides, we get y squared equals open parentheses square root of fraction numerator x minus 48 over denominator 6 end fraction end root close parentheses squared

    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow y squared equals fraction numerator x minus 48 over denominator 6 end fraction end cell row cell not stretchy rightwards double arrow 6 y squared equals x minus 48 end cell row cell not stretchy rightwards double arrow x equals 6 y squared plus 48 end cell end table

    Related Questions to study

    General
    Maths-

    Find the product of the rational expression
    fraction numerator 8 x minus 3 plus 3 x squared over denominator 2 x squared minus x minus 6 end fraction cross times fraction numerator x squared minus 4 over denominator x plus 3 end fraction

    Find the product of the rational expression
    fraction numerator 8 x minus 3 plus 3 x squared over denominator 2 x squared minus x minus 6 end fraction cross times fraction numerator x squared minus 4 over denominator x plus 3 end fraction

    Maths-General
    General
    Maths-

    Explain how you can tell whether a rational expression is in simplest form?

    Explain how you can tell whether a rational expression is in simplest form?

    Maths-General
    General
    Maths-

    Determine whether is sometimes  fraction numerator 5 x plus 11 over denominator 6 x plus 11 end fraction equals space 5 over 6, always or never true . Justify your reasoning.

    Determine whether is sometimes  fraction numerator 5 x plus 11 over denominator 6 x plus 11 end fraction equals space 5 over 6, always or never true . Justify your reasoning.

    Maths-General
    parallel
    General
    Maths-

    Identify the slope and y-intercept of the line: y equals negative 5 x minus 3 over 4

    Identify the slope and y-intercept of the line: y equals negative 5 x minus 3 over 4

    Maths-General
    General
    Maths-

    Find the extraneous solution of square root of 8 x plus 9 end root equals x
     

    Find the extraneous solution of square root of 8 x plus 9 end root equals x
     

    Maths-General
    General
    Maths-

    Explain the similarities between rational numbers and rational expressions ?

    Explain the similarities between rational numbers and rational expressions ?

    Maths-General
    parallel
    General
    Maths-

    Simplify the following expression.
    open parentheses fraction numerator 2 x minus 1 over denominator x plus 3 end fraction minus fraction numerator x squared minus 4 over denominator 2 x plus 1 end fraction close parentheses space cross times space fraction numerator 2 x squared plus 7 x plus 3 over denominator x plus 2 end fraction

    Simplify the following expression.
    open parentheses fraction numerator 2 x minus 1 over denominator x plus 3 end fraction minus fraction numerator x squared minus 4 over denominator 2 x plus 1 end fraction close parentheses space cross times space fraction numerator 2 x squared plus 7 x plus 3 over denominator x plus 2 end fraction

    Maths-General
    General
    Maths-

    Sketch the graph of y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2

    Sketch the graph of y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2

    Maths-General
    General
    General

    Explain how you can use your graphing calculator to show that the rational  expressions fraction numerator negative 6 x squared plus 21 x over denominator 3 x end fraction and
    negative 2 x plus 7are equivalent under a given domain. What is true about the graph
    at x = 0and Why?

    Explain how you can use your graphing calculator to show that the rational  expressions fraction numerator negative 6 x squared plus 21 x over denominator 3 x end fraction and
    negative 2 x plus 7are equivalent under a given domain. What is true about the graph
    at x = 0and Why?

    GeneralGeneral
    parallel
    General
    Maths-

    If A equals 2 x cubed plus 5 x squared plus 4 x plus 1 text  and  end text B equals 2 x squared plus 3 x plus 1 then find the quotient from the following four option, when A is divided by B.

    If A equals 2 x cubed plus 5 x squared plus 4 x plus 1 text  and  end text B equals 2 x squared plus 3 x plus 1 then find the quotient from the following four option, when A is divided by B.

    Maths-General
    General
    Maths-

    Find the extraneous solution of square root of 8 x plus 9 end root equals x
     

    Find the extraneous solution of square root of 8 x plus 9 end root equals x
     

    Maths-General
    General
    Maths-

    Explain why the process of dividing by a rational number is the same as multiplying by its reciprocal.

    Explain why the process of dividing by a rational number is the same as multiplying by its reciprocal.

    Maths-General
    parallel
    General
    Maths-

    Sketch the graph of y = 2x - 5.

    Sketch the graph of y = 2x - 5.

    Maths-General
    General
    Maths-

    Simplify each expressions and state the domain : fraction numerator x squared plus 2 x plus 1 over denominator x cubed minus 2 x squared minus 3 x end fraction

    Simplify each expressions and state the domain : fraction numerator x squared plus 2 x plus 1 over denominator x cubed minus 2 x squared minus 3 x end fraction

    Maths-General
    General
    Maths-

    Reduce the following rational expressions to their lowest terms
    fraction numerator 8 x to the power of 5 minus 8 x over denominator open parentheses 3 x squared plus 3 close parentheses left parenthesis 4 x plus 4 right parenthesis end fraction

    Reduce the following rational expressions to their lowest terms
    fraction numerator 8 x to the power of 5 minus 8 x over denominator open parentheses 3 x squared plus 3 close parentheses left parenthesis 4 x plus 4 right parenthesis end fraction

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.