Find the nonreal complex solutions of the equation.
-$x^{2}-10 x+29=0$
A) $\{7,3\}$
B) $\{10+4 \mathrm{i}, 10-4 \mathrm{i}\}$
C) $\{5+2 \mathrm{i}, 5-2 \mathrm{i}\}$
D) $\{-5+2 \mathrm{i},-5-2 \mathrm{i}\}$

Question

Quizplus · Accepted Answer

Using the quadratic formula, $x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$, with $a=1$, $b=-10$, and $c=29$, we find the discriminant $b^2-4ac = (-10)^2-4(1)(29) = 100-116 = -16$. This gives us $x = \frac{10 \pm \sqrt{-16}}{2} = 5 \pm 2i$, which matches choice C.

Find the Nonreal Complex Solutions of the Equation x2−10x+29=0x^{2}-10 x+29=0x2−10x+29=0 A) {7,3}\{7,3\}{7,3}

Find the Nonreal Complex Solutions of the Equation $x^{2}-10 x+29=0$ A) $\{7,3\}$