what is the discriminate of 5x^2+9x+1=0

Question

and number of real solutions 

Answer 1

The discriminant for this equation is 81 - 20 = 61.

Since the discriminant is a positive real number, there are 2 real solutions.

 

For the general quadratic equation Ax² + Bx + C, the discriminant is B² - 4AC.

 

Look at the quadratic formula and you will understand why this expression is called the discriminant.