Use the discriminant to determine if the equation can be solved by factoring. If the equation can be solved by factoring, then factor it.
-$d^{2}-7 d+2=0$
A) $(d+2)(d-1)=0$
B) $(\mathrm{d}-1.4)^{2}=0$
C) $(d+1)(d-3)=0$
D) Cannot be solved by factoring

Question

Quizplus · Accepted Answer

The discriminant of a quadratic equation $ax^2 + bx + c = 0$ is given by $b^2 - 4ac$. For the equation $d^2 - 7d + 2 = 0$, the discriminant is $(-7)^2 - 4(1)(2) = 49 - 8 = 41$, which is not a perfect square. Therefore, the equation cannot be solved by factoring, as factoring requires the discriminant to be a perfect square to result in integer or rational solutions.

Use the Discriminant to Determine If the Equation Can Be d2−7d+2=0d^{2}-7 d+2=0d2−7d+2=0

Use the Discriminant to Determine If the Equation Can Be $d^{2}-7 d+2=0$