Compute the value of the discriminant and give the number of

Compute the value of the discriminant and give the number of real solutions of the quadratic equation.

5x² - 9x + 4 = 0

Discriminant___

Number of real solutions ____

Solution

Discriminant of ax²+bx+c=0 is b²-4ac

Discriminant of 5x²  - 9x + 4 = 0 is (-9)²-4*5*(-9)

Discriminant of 5x²  - 9x + 4 = 0 is 81+180

Discriminant of 5x²  - 9x + 4 = 0 is 261

Discriminant >0

Number of real solutions =2