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

Question

asked Sep 25, 2020 137k views

2 Answers

Yura Shinkarev · Answer 1 · 2020-09-29T06:09:43+0000

For this case we have the following quadratic equation:

-2x ^ 2 = -8x + 8

This is equivalent to:

2x ^ 2-8x + 8 = 0

Where:

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

The discriminant is given by:

d = b ^ 2-4 (a) (c)

Substituting the values we have:

$d = (- 8) ^ 2-4 (2) (8)\\d = 64-64\\d = 0$

The discriminant is zero, so the equation has two equal real roots.

Answer:

The equation has two equal real roots.