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What is the value of the discriminant of the quadratic equation −2x2 = −8x + 8, and what does its value mean about the number of real number solutions the equation has?

User Tillda
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1 Answer

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For this case we have the following quadratic equation:


-2x ^ 2 = -8x + 8

Rewriting we have:


2x ^ 2-8x + 8 = 0

This equation is of the form
ax ^ 2 + bx + c = 0

Where:


a = 2\\b = -8\\c = 8

The discriminant is given by:


d = b ^ 2-4 (a) (c)\\d = (- 8) ^ 2-4 (2) (8)\\d = 64-64\\d = 0

This means that the equation has two equal real roots.

Answer:


d = 0

The equation has two equal real roots.

User Adriano Alves
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