Question

2x - (x - 1) = 5 - (x - 3)
Me ajudaaaaaaa!!!

Answer 1

Resposta:

Sol: {3/2, -5}

Explicação passo-a-passo:

$2x - (x-1)=5-(x-3)\\2x*(-x+1)=5*(-x+3)\\2x^{2} +2x=5x+15\\2x^{2} +2x+5x-15=0\\2x^{2} +7x-15=0\\a=2, b=7, c=-15\\\\x_{1,2}=\frac{-b+-\sqrt[]{b^{2}-4*a*c } }{2*a} \\x_{1,2}=\frac{-7+-\sqrt[]{7^{2}-4*2*(-15) } }{2*2}\\ x_{1,2}=\frac{-7+-\sqrt[]{169} }{4}\\ x_{1,2}=\frac{-7+-13}{4}\\ x_{1}=\frac{-7+13}{4}=\frac{6}{4}=\frac{3}{2}\\ x_{2}=\frac{-7-13}{4}=\frac{-20}{4}=-5$