Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

Solve the radical equation $square root of 3 x minus 2 end root equals x minus 4$

hint Hint:

Rearrange the equation and then solve for x.

The correct answer is: x = 9

Complete step by step solution:
Here given equation is $square root of 3 x minus 2 end root equals x minus 4$
On squaring both the sides, we have $left parenthesis square root of 3 x minus 2 end root right parenthesis squared equals left parenthesis x minus 4 right parenthesis squared$
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 3 x minus 2 equals x squared minus 8 x plus 16 end cell row cell not stretchy rightwards double arrow x squared minus 8 x plus 16 equals 3 x minus 2 end cell end table$
$table attributes columnspacing 1em end attributes row cell space space space space space space space space space space space space space space not stretchy rightwards double arrow x squared minus 8 x minus 3 x plus 16 plus 2 equals 0 end cell row cell not stretchy rightwards double arrow x squared minus 11 x plus 18 equals 0 end cell end table$
Now, this is a quadratic equation with a = 1, b = -11, c = 18
Roots can be found with, $x equals fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction$
$x equals fraction numerator 11 plus-or-minus square root of 121 minus 4 cross times 1 cross times 18 end root over denominator 2 cross times 1 end fraction$
$x equals fraction numerator 11 plus-or-minus square root of 49 over denominator 2 end fraction$
$not stretchy rightwards double arrow x equals fraction numerator 11 plus-or-minus 7 over denominator 2 end fraction$
$not stretchy rightwards double arrow x equals 9 text or end text 2$
Here, on substitution in given original equation we get the value of x = 9.

Related Questions to study

Does a linear , quadratic , or exponential function best model the data ? Explain.

Does a linear , quadratic , or exponential function best model the data ? Explain.

The speed, v, of a vehicle in relation to its stopping distance, d, is represented by the equation v =3.57√d. What is the equation for stopping distance in terms of the vehicle’s speed?

The speed, v, of a vehicle in relation to its stopping distance, d, is represented by the equation v =3.57√d. What is the equation for stopping distance in terms of the vehicle’s speed?

Solve $open parentheses x squared plus 4 x plus 5 close parentheses to the power of 3 over 2 end exponent plus 1 equals 0$

Solve $open parentheses x squared plus 4 x plus 5 close parentheses to the power of 3 over 2 end exponent plus 1 equals 0$

parallel

The suspension cables from the Golden gate bridge’s towers are farther above the roadway near the towers and closer to the roadway near the middle of the bridge. You can figure out your distance from middle of the bridge, x, in feet, and height of the suspension cable, y, in feet, at your position by using the equation x = $fraction numerator square root of y to the power of negative 220 end exponent end root over denominator 0.010583 end fraction$ About how far is the cable from roadway when you are 200 ft from middle of the bridge

The suspension cables from the Golden gate bridge’s towers are farther above the roadway near the towers and closer to the roadway near the middle of the bridge. You can figure out your distance from middle of the bridge, x, in feet, and height of the suspension cable, y, in feet, at your position by using the equation x = $fraction numerator square root of y to the power of negative 220 end exponent end root over denominator 0.010583 end fraction$ About how far is the cable from roadway when you are 200 ft from middle of the bridge

Solve the radical equation $cube root of x minus 1 end root equals 2$

Solve the radical equation $cube root of x minus 1 end root equals 2$

How can you determine whether the data in the table can be modelled by an exponential function ?

How can you determine whether the data in the table can be modelled by an exponential function ?

parallel

Solve $2 open parentheses x squared minus 12 x minus 4 close parentheses to the power of 1 half end exponent minus 3 equals 15$

Solve $2 open parentheses x squared minus 12 x minus 4 close parentheses to the power of 1 half end exponent minus 3 equals 15$

Solve the radical equation $square root of x minus 2 end root plus 3 equals 5$

Solve the radical equation $square root of x minus 2 end root plus 3 equals 5$

Solve 5x - 48 = -3x + 8

Solve 5x - 48 = -3x + 8

parallel

Solve the radical equation ∛x + 2 = 4

Solve the radical equation ∛x + 2 = 4

Aaron can join a gym that charges $19.99 per month plus an annual $12.80 fee , or he can pay $21.59 per month. he thinks the second option is better because he plans to use the gym for 10 months. Is Aaron correct ? Explain.

Aaron can join a gym that charges $19.99 per month plus an annual $12.80 fee , or he can pay $21.59 per month. he thinks the second option is better because he plans to use the gym for 10 months. Is Aaron correct ? Explain.

How can you determine whether the data in the table can be modelled by a quadratic function ?

How can you determine whether the data in the table can be modelled by a quadratic function ?

parallel

A red balloon is 40 feet above the ground and rising at 2ft/s . At the same time , a blue balloon is at 60 feet above the ground and descending at 3 ft/s , What will the height of the balloon be when they are the same height above the ground ?

A red balloon is 40 feet above the ground and rising at 2ft/s . At the same time , a blue balloon is at 60 feet above the ground and descending at 3 ft/s , What will the height of the balloon be when they are the same height above the ground ?

Solve the radical equation $x equals square root of 56 minus x end root$ Check for extraneous solutions

Solve the radical equation $x equals square root of 56 minus x end root$ Check for extraneous solutions

Solve 34-2x= 7x

Solve 34-2x= 7x

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.