Question

$\sqrt{2x + 9} + x = 13$
X=?​

Answer 1

Answer:

√2x + 9 = 13 - x

Squaring both sides,

2x + 9 = (13 - x)^2

2x + 9 = 169 - 26x + x^2

x^2 - 28x + 160 = 0

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

x = 8, 20

hope it helps u ✍️♥️

Answer 2

Answer:

$= > \sqrt{2x + 9} = 13 - x \\ = > 2x + 9 = {(13 - x)}^{2} \\ = > 2x + 9 = 169 - 26x + {x}^{2} \\ {x}^{2} - 28x + 169 - 9 = 0 \\ = > {x}^{2} - 28x + 160 = 0 \\ x = \frac{ - ( - 28) + - \sqrt{ {( - 28)}^{2} - 4 \times 1 \times 160 } }{2} \\ = \frac{28 + - \sqrt{784 - 640} }{2} \\ = \frac{28 + - \sqrt{144} }{2} \\ = \frac{28 + - 12}{2} \\ x = \frac{28 + 12}{2} orx = \frac{28 - 12}{2} \\ = > x = \frac{40}{2} orx = \frac{16}{2} \\ = > x = 20or8 \\if \: x = 20 \: then \sqrt{2x + 9} + x \: not \: equal \: to13 \\ butx = 8 \\ then \sqrt{2x + 9} + x = 13 \\ the \: x \: value \: is8 \\ x = 8.$