16 Multiple Choice 5 points Solve the following equation. 2x^2+13=-10x x=(-5pm i)/(2) x=10pm 4 x=5pm 2i No solution

Question

Answer 1

To solve the equation

, we first rearrange it into standard quadratic form:

This is a quadratic equation of the form

, where

,

, and

.We can use the quadratic formula to find the solutions for

:

Substitute the values of

,

, and

into the formula:

Calculate the discriminant:

Since the discriminant is negative, the solutions will be complex numbers. Calculate the square root of the discriminant:

Now substitute back into the quadratic formula:

Simplify the expression:

Thus, the solutions are:

Therefore, the correct answer is:

Question