Question

solve for x √ 2x+7=x+2
$solve for x: \sqrt{2x + 7} = x + 2$

Answer 1

Heya mate,Here is ur answer

$\sqrt{2x + 7} = x + 2$

Squaring both the sides

${ \sqrt{(2x + 7)} }^{2} = {(x + 2)}^{2}$
Using identity (a+b)^2=a^2+2ab+b^2

$2x + 7 = {x}^{2} + 4x + 4$

Taking like terms a side

$2x - 4x + 7 - 4 = {x}^{2}$

$3-2x = {x}^{2}$

$0={x}^{2}+2x-3$

$0={x}^{2}+(3-1)x-3$

$0={x}^{2}+3x-x-3$

$0=x(x+3)-1(x+3)$

$0=(x-1)(x+3)$

x-1=0

x=1

x+3=0

x=-3

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@Laughterqueen

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Answer 2

√2x+7= x+2

2x+7 = (x+2)²

2x + 7 = x²+4

x²+2x-3=0

x²+ 3x-x-3=0

x(x+3)-1(x+3)=0

(x-1)(x+3)

so, x= 1,-3 ANS.

✨ HOPE IT HELPS U ✨