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(square root of x -5) plus x equals 25

Question

(square root of x -5) plus x equals 25

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Step 1

Given equation is

Vx-5+x = 25
x-5 25 x
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Vx-5+x = 25 x-5 25 x

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Step 2

On squaring both sides, we get

x-5=(25-x
x-5 625x- 50x
x2-51x630 0
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x-5=(25-x x-5 625x- 50x x2-51x630 0

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Step 3

Now, we solve the quadratic equation by spl...

x2-51x630 0
x-21x 30x + 630 = 0
x(x-21)-30(x-21)- 0
(x-21)(x-30) 0
x 21,30
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x2-51x630 0 x-21x 30x + 630 = 0 x(x-21)-30(x-21)- 0 (x-21)(x-30) 0 x 21,30

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Math

Algebra

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