Question

solve for x :underroot2x+9+x=13.​

Answer 1

Step-by-step explanation:

√(2x + 9) + x = 13

√(2x + 9) = 13 - x

Squaring on both sides, we get:

(√(2x + 9))² = (13 - x)²

(2x + 9) = (13² + x² - 26x)

2x + 9 = 169 + x² - 26x

x² - 26x - 2x + 169 - 9 = 0

x² - 28x + 160 = 0

x² - 8x - 20x + 160 = 0

x (x - 8) - 20 (x - 8) = 0

(x - 8) (x - 20) = 0

x = 8, 20

Thanks! ✨