Question

Please help!! Use the discriminate to determine the number of solutions and types of solutions for the quadratic equation.

Discriminant=__

Number of solutions for the quadratic equation=___

a^2+3a=7

Answer 1

two unequal, complex roots

Explanation:

Rewrite this quadratic as a^2 + 3a - 7 = 0. The coefficients are {1, 3, -7}. The discriminant is b^2 - 4ac = 3^2 - 4(1)(-7), or 9 - 28, or -19.

Because the discriminant is negative, we know immediately that this quadratic has two unequal, complex roots.