Solve the following equation- 2 -x - 5 - x - 2

2√( x+5 ) =x+2 4(x+5)= (x+2) ^ 2 4x+20= x ^ 2 +4x+4 x ^ 2 16=0 (x 4)(x+4)=0 x=4, 1 ...

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Reducing Equations to Simpler Form

Solve the fol...

Question

Solve the following equation:
$2 \sqrt{x + 5} = x + 2$

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Solution

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Solve the following equation :

$(x - 5)^{2} - (x + 2)^{2} = - 2$

8 (x - 3) - (6 - 2 x) = 2 (x + 2) - 5 (5 - x)

x

{(x - 5)}^{2} = 4 {(x + 5)}^{2}

\frac{(5 - x) \sqrt{5 - x} + (x - 3) \sqrt{x - 3}}{\sqrt{5 - x} + \sqrt{x - 3}} = 2

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