Question

p(×+2) = x² + 3x-5 obtendo ​

Answer 1

Resposta:

$x=\frac{-3+\sqrt{8P+29}}{2},\:x=\frac{-3-\sqrt{8P+29}}{2}$

Explicação passo-a-passo:

$P\left(2\right)=x^2+3x-5$

$x^2+3x-5=2P$

$x^2+3x-5-2P=2P-2P$

$x^2+3x-5-2P=0$

$\mathrm{Para\:}\quad a=1,\:b=3,\:c=-5-2P:\quad x_{1,\:2}=\frac{-3\pm \sqrt{3^2-4\times \:1\left(-5-2P\right)}}{2\times \:1}$

$x=\frac{-3+\sqrt{8P+29}}{2},\:x=\frac{-3-\sqrt{8P+29}}{2}$