Question

x. (x+8)=180
X +8 -180 =0​

Answer 1

Resposta:

x²+8x=180

x-172=0

∆=64-4.1.0

∆=64

x= -8±8/2

x'=0

x"= -8

x-172=0

x=172

s={0,-8; 172}

Answer 2

Resposta:

• $x_{1} = \frac{ - 8 + 28}{2} = \frac{20}{2} = 10 \\ x_{2} = \frac{ - 8 - 28}{2} = - \frac{36}{2} = - 18$
• $x = 172$

Explicação passo-a-passo:

$x \times (x + 8) = 180 \\ {x}^{2} + 8x = 180 \\ {x}^{2} + 8x - 180 = 0 \\ a = 1 \\ b = 8 \\ c = - 180 \\ x = \frac{ - 8 + - \sqrt{ {8}^{2} - 4 \times 1 \times ( - 180) } }{2 \times 1} \\ x = \frac{ - 8 + - \sqrt{64 + 720} }{2} \\ x = \frac{ - 8 + - \sqrt{784} }{2} \\ x = \frac{ - 8 + - 28}{2} \\ x_{1} = \frac{ - 8 + 28}{2} = \frac{20}{2} = 10 \\ x_{2} = \frac{ - 8 - 28}{2} = - \frac{36}{2} = - 18$

$x + 8 - 180 = 0 \\ x = - 8 + 180 \\ x = 172$