What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x? Discriminant = b2 – 4ac

Question

asked Sep 9, 2021 72.6k views

1 Answer

Shogan · Answer 1 · 2021-09-15T01:59:50+0000

Answer:

The answer is 16.

Explanation:

First, you have to make the equation into 0 by moving all the terms to one side :

$- 3 = - {x}^(2) + 2x$

${x}^(2) - 2x - 3 = 0$

Next, you have to apply Discriminant Law, D = b² - 4ac :

$D = {b}^(2) - 4ac$

$let \: a = 1 \: , \: b = - 2 \: , \: c = - 3$

$D = {( - 2)}^(2) - 4(1)( - 3)$

D = 4 + 12

D = 16