Find the discriminant

9x^2+14x+13=8x^2

The discrimant of this equation is 144.

Step-by-step explanation:

First you have to move all the variables to one side to make the equation/expression into 0 by substracting 8x² to both sides:

9x² + 14x + 13 = 8x²

9x² + 14x + 13 - 8x² = 8x² - 8x²

x² + 14x + 13 = 0

It is given that the formula of discriminant is, D = b² - 4ac where a&b&c represent the number of the equation, ax²+bx+c = 0:

x² + 14x + 13 = 0

D = b² - 4ac

= 14² - 4 (1) (13)

= 196 - 52

= 144