Answer:
[tex]x_1=-\frac{11}{2}-\frac{\sqrt{137} }{2}\\\\x_2=-\frac{11}{2}+\frac{\sqrt{137} }{2}[/tex]
Step-by-step explanation:
Given the following quadratic equation:
[tex]x^2 = -11x + 4[/tex]
The steps to solve it are:
1. Move the terms to one side of the equation:
[tex]x^2+11x- 4=0[/tex]
2. Apply the Quadratic formula [tex]x=\frac{-b\±\sqrt{b^2-4ac} }{2a}[/tex].
In this case we can identify that:
[tex]a=1\\b=11\\c=-4[/tex]
Then, substituting these values into the Quadratic formula we get the following solutions:
[tex]x=\frac{-11\±\sqrt{11^2-4(1)(-4)} }{2(1)}[/tex]
[tex]x_1=-\frac{11}{2}-\frac{\sqrt{137} }{2}\\\\x_2=-\frac{11}{2}+\frac{\sqrt{137} }{2}[/tex]
Answer:
b
Step-by-step explanation:
StartFraction negative 11 minus StartRoot 125 EndRoot Over 2 EndFraction comma StartFraction negative 11 + StartRoot 125 EndRoot Over 2 EndFraction
