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14 April, 00:57

Solve the equation √x+√ (x+3) = 3.

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  1. 14 April, 01:19
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    The solution for this question is 1.

    Step-by-step explanation:

    Given that

    √x+√ (x+3) = 3.

    √x=3-√ (x+3) (a) simplify the equation

    square equation (a)

    (√x) ^2 = (3-√ (x+3)) ^2

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

    (√x) ^2 = (3-√ (x+3)) ^2

    x = (3) ^2 + (√ (x+3)) ^2-2*√x+3*3

    x=9 + (x+3) - 6√x+3

    x=9+x+3-6√x+3 simplify equation

    x-x=9+3-6√x+3

    0=12-6√x+3

    6√x+3=12

    √x+3=12/6

    √x+3=2 (b)

    square equation b

    (√x+3) ^2=2^2

    x+3=4

    x=4-3

    x=1
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