Question

plz answer the question. ​

Answer 1

Answer: x = 4

Step-by-step explanation:

$\sqrt{x+4}$ + $\sqrt{x+20}$ = 2 $\sqrt{x+11}$

Square both sides -

x+4 + x + 20 + 2$\sqrt{(x+4)(x+20)}$ = 4(x + 11)

2x + 24 + 2$\sqrt{(x+4)(x+20)}$ = 4x +44

2$\sqrt{(x+4)(x+20)}$ = 2x + 20

$\sqrt{(x+4)(x+20)}$ = x + 10

Square both sides again -

(x+4)(x+20) = x² + 100 + 20x

x² + 24 x + 80 = x² + 100 + 20x

4x = 20

x = 5

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