Maths-
General
Easy

Question

Solve the radical equation square root of x plus 9 end root minus square root of 2 x end root equals 3

Hint:

Rearrange the equation and then solve for x.

The correct answer is: ⇒ x = 72


    Complete step by step solution:
    Here we have the equation square root of x plus 9 end root minus square root of 2 x end root equals 3
    not stretchy rightwards double arrow square root of x plus 9 end root equals 3 plus square root of 2 x end root
    On squaring both the sides, we have x plus 9 equals left parenthesis 3 plus square root of 2 x end root right parenthesis left parenthesis 3 plus square root of 2 x end root right parenthesis
    not stretchy rightwards double arrow x plus 9 equals 9 plus 3 square root of 2 x end root plus 3 square root of 2 x end root plus 2 x
    On subtracting, 2x and 9 from both the sides, we get
    not stretchy rightwards double arrow negative x equals 6 square root of 2 x end root
    On squaring both the sides, we get
    table attributes columnspacing 1em end attributes row cell space space space space space space space space x squared equals 36 cross times 2 x end cell row cell not stretchy rightwards double arrow x equals 72 end cell end table

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