Solve the equation by using the quadratic formula.
-$$t ( t - 2 ) = - 2$$
A) $\{ 1 \pm 2 i \}$
B) $\{ - 1 \pm i \}$
C) $\{ - 1 \pm 2 i \}$
D) $\{ 1 \pm i \}$

Question

Quizplus · Accepted Answer

First, rewrite the equation as $t^2 - 2t + 2 = 0$. Using the quadratic formula $t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, where $a = 1$, $b = -2$, and $c = 2$, we find the discriminant $b^2 - 4ac = (-2)^2 - 4(1)(2) = 4 - 8 = -4$. The solutions are $t = \frac{2 \pm \sqrt{-4}}{2} = 1 \pm i$.

Solve the Equation by Using the Quadratic Formula t(t−2)=−2t ( t - 2 ) = - 2t(t−2)=−2

Solve the Equation by Using the Quadratic Formula $t ( t - 2 ) = - 2$