Question

Please help this assignment is killing me

Consider the quadratic equation, x2 + 6x + 10 = 0.

From the list below, determine which expression correctly represents the solution set of the quadratic equation above.

Type yes next to each correct representation. Type no next to each incorrect representation. You must type an answer in every text box.

{ }

{-4, -2}

x1 = -4, x2 = -2

("If you can't see the image, it is a circle with a slash through it.")

no solution

Answer 1

No solution

Explanation:

We can easily tell that there are no solutions by using the discriminant rule.

The discriminant rule comes directly from the discriminant of the quadratic equation and is b^2-4ac

It can tell us three things about the solution:

When the discriminant is less than 0, there is no solution.

When the discriminant equals 0, there is one distinct solution.

When the discriminant is greater than 0, there are two distinct solutions

In the problem a = 1, b = 6, c = 10.

Plugging in what we have gives us 6^2*4(1)(10) = -4.

-4<0 so there are no real solutions.