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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

Respuesta :

Answer:

two unequal, complex roots

Step-by-step 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.