Maths-
General
Easy

Question

Solve the equation square root of 2 x minus 5 end root minus square root of x minus 3 end root equals 1

Hint:

Rearrange the equation and then solve for x.

The correct answer is: ⇒ x = 7


    Complete step by step solution:
    Here we have the equation square root of 2 x minus 5 end root minus square root of x minus 3 end root equals 1

    not stretchy rightwards double arrow square root of 2 x minus 5 end root equals 1 plus square root of x minus 3 end root
    On squaring both the sides, we have 2 x minus 5 equals left parenthesis 1 plus square root of x minus 3 end root right parenthesis left parenthesis 1 plus square root of x minus 3 end root right parenthesis

    not stretchy rightwards double arrow 2 x minus 5 equals 1 plus 2 square root of x minus 3 end root plus x minus 3
    On subtracting, x and -2 from both the sides, we get

    not stretchy rightwards double arrow x minus 3 equals 2 square root of x minus 3 end root
    On squaring both the sides, we get
    table attributes columnspacing 1em end attributes row cell left parenthesis x minus 3 right parenthesis squared equals 4 left parenthesis x minus 3 right parenthesis end cell row cell not stretchy rightwards double arrow x minus 3 equals 4 end cell row cell not stretchy rightwards double arrow x equals 7 end cell end table

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