Question

9x² + 30x + 25 = 1
preciso urgenteeeeeeeee

Answer 1

Explicação passo-a-passo:

$\sf 9x^2+30x+25=1$

$\sf 9x^2+30x+25-1=0$

$\sf 9x^2+30x+24=0$

$\sf 3x^2+10x+8=0$

$\sf \Delta=10^2-4\cdot3\cdot8$

$\sf \Delta=100-96$

$\sf \Delta=4$

$\sf x=\dfrac{-10\pm\sqrt{4}}{2\cdot3}=\dfrac{-10\pm2}{6}$

$\sf x'=\dfrac{-10+2}{6}~\longrightarrow~x'=\dfrac{-8}{6}~\longrightarrow~x'=\dfrac{-4}{3}$

$\sf x"=\dfrac{-10-2}{6}~\longrightarrow~x"=\dfrac{-12}{6}~\longrightarrow~x"=-2$

$\sf S=\left\{-2,\dfrac{-4}{3}\right\}$