Solve the equation using the quadratic formula.
-$$x ^ { 2 } - 6 x + 34 = 0$$
A) $\{ 3 + 5 i , 3 - 5 i \}$
B) $\{ 3 - 25 i , 3 + 25 i \}$
C) $\{ 3 + 5 i \}$
D) $\{ 8 , - 2 \}$

Question

Quizplus · Accepted Answer

The quadratic formula is $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. For the equation $x^2 - 6x + 34 = 0$, $a = 1$, $b = -6$, and $c = 34$. Plugging these into the formula gives $x = \frac{6 \pm \sqrt{(-6)^2 - 4(1)(34)}}{2(1)} = \frac{6 \pm \sqrt{36 - 136}}{2} = \frac{6 \pm \sqrt{-100}}{2} = 3 \pm 5i$, which matches option A.

Solve the Equation Using the Quadratic Formula x2−6x+34=0x ^ { 2 } - 6 x + 34 = 0x2−6x+34=0

Solve the Equation Using the Quadratic Formula $x ^ { 2 } - 6 x + 34 = 0$