Answer:
The answer is 16.
Step-by-step explanation:
First, you have to make the equation into 0 by moving all the terms to one side :
[tex] - 3 = - {x}^{2} + 2x[/tex]
[tex] {x}^{2} - 2x - 3 = 0[/tex]
Next, you have to apply Discriminant Law, D = b² - 4ac :
[tex]D = {b}^{2} - 4ac[/tex]
[tex]let \: a = 1 \: , \: b = - 2 \: , \: c = - 3[/tex]
[tex]D = {( - 2)}^{2} - 4(1)( - 3)[/tex]
[tex]D = 4 + 12[/tex]
[tex]D = 16[/tex]
