A quadratic equation of the form 0 = ax2 + bx + c has a discriminant value of –16. How many real number solutions does the equation have? help me please

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Question:

A quadratic equation of the form 0 = ax2 + bx + c has a discriminant value of –16. How many real number solutions does the equation have? help me please

Answer:

The discriminant of a quadratic is given as , so we know that 

When using the quadratic formula to calculate values for , we have to take the root of the discriminant. There is no real answer to the root of a negative number and so the equation has no real roots.

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