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5 September, 23:50

Solve the following equation 3+√x=√ (x+81).

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  1. 6 September, 02:13
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    The solution for this question is 144.

    Step-by-step explanation:

    Given that

    3+√x=√ (x+81) (i)

    square equation (i)

    (3+√x) ^2 = (√ (x+81) ^2

    we know that (a+b) ^2 = (a^2+b^2+2. a. b). and√x*√x = (√x) ^2=x So,

    (3) ^2 + (√x) ^2+2*3*√x=x+81

    9+x+6√x=x+81

    6√x=x+81-x-9

    6√x=x-x+81-9 Simplify the equation.

    6√x=72

    √x=72/6

    √x=12 (a)

    square equation (a) for x value.

    (√x) ^2 = (12) ^2

    x=144
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