Maths-
General
Easy

Question

Solve the radical equation square root of 2 x end root equals 12. Check for extraneous solutions

hintHint:

Rearrange the equation and then solve for x.

The correct answer is: 12


    Complete step by step solution:
    Here we have the equation square root of 2 x end root equals 12
    On squaring, we have 2 x equals 12 squared

    ⇒ 2x = 144
    ⇒ x = 72
    On substituting the value of x in the equation, we get
    square root of 2 cross times 72 end root equals square root of 144 equals 12
    Hence there is no extraneous solution.

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