Solve by the quadratic formula. Simplify answers. Use i notation for nonreal complex numbers.
-$$x ^ { 2 } + 6 x + 34 = 0$$
A) $ x= ,-8$
B) $ x=-3 \pm 5 i $
C) $ x=-3+5 i $
D) $ x=-3 \pm 25 i $

Question

Solve by the quadratic formula. Simplify answers. Use i notation for nonreal complex numbers.
-$$x ^ { 2 } + 6 x + 34 = 0$$
A) $ x=  ,-8$
B) $ x=-3 \pm 5 i $
C) $ x=-3+5 i $
D) $ x=-3 \pm 25 i $

Quizplus · Accepted Answer

The quadratic formula is $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, where $a = 1$, $b = 6$, and $c = 34$. Plugging these values in, we get $x = \frac{-6 \pm \sqrt{(-6)^2 - 4(1)(34)}}{2(1)} = \frac{-6 \pm \sqrt{36 - 136}}{2} = \frac{-6 \pm \sqrt{-100}}{2} = -3 \pm 5i$.

Solve by the Quadratic Formula x2+6x+34=0x ^ { 2 } + 6 x + 34 = 0x2+6x+34=0

Solve by the Quadratic Formula $x ^ { 2 } + 6 x + 34 = 0$