Find the exact value of x.
Please help its due really soon !!

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Ответ:

NabzDayer5214

30.05.2021

Mathematics

x = 5

Step-by-step explanation:

x - 5 = $\sqrt{2x+5}$ ( x > 5)

(x - 5)² = ( $\sqrt{2x+5}$ )²

x² - 10x + 25 = 2x + 5

x² - 12x + 20 = 0

(x - 10)(x - 2) = 0

$x_{1}$ = 10

$x_{2}$ = 2 strange root, does not satisfy the condition x > 5 ( 2 - $\sqrt{2*2+5}$ ≠ 5 )

10 - $\sqrt{2*10+5}$ = 5

10 - 5 = 5

5 = 5

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