Question

Resolva esqueaço x2+6x=25

Answer 1

Resultado: x= -3+√34 ou x= -3 -√34 

$x^{2} +6x=25\\ x^{2}+6x-25=0 \\\\ b^{2}-4ac= 6^{2}-4.1.(-25)= 36+100=136\\ \sqrt{b^{2}-4ac}}= \sqrt{136} = \sqrt{2.2.2.17} = 2 \sqrt{34} \\\\ x= \frac{-b+- \sqrt{b^{2}-4ac}}{2a} \\ x1= \frac{-6+ 2 \sqrt{34}}{2.1} =-3 + \sqrt{34} \\ x2= \frac{-6- 2 \sqrt{34}}{2.1} = -3 - \sqrt{34}$