Question

Solve for the roots in simplest form using the quadratic formula:
x^2 + 61 =-10x

Answer 1

9514 1404 393

Answer:

-5 ± 6i

Explanation:

To use the quadratic formula, we need the equation in standard form. Adding 10x gives ...

x^2 +10x +61 = 0

Then a=1, b=10, c=61, and the solutions are ...

`x=(-b\pm√(b^2-4ac))/(2a)=(-10\pm√(10^2-4(1)(61)))/(2(1))\\\\=(-10\pm√(-144))/(2)=(-10\pm12i)/(2)\\\\ \boxed{x=\{-5-6i,-6+6i\}}`