Find the discriminant.
2x2 – 4x + 15 = 0
5x2 – 10x + 5 = 0
How many real solutions does the following quadratic solution have?
x2 – 2x + 2 = 0
10x2 – 5x + 7 = 0
Determine the discriminant of the quadratic equation. Give the number and type of solutions of the equation:
x2 + 5x – 11 = 0
5x2 – 11x – 6 = 0
–3x2 – 5x – 6 = 0
Determine all values of c for which the equation has (a) two real solutions, (b) one real solution, and (c) two imaginary solutions:
x2 + 8x + c = 0
x2 – 6x + c = 0
x2 – 16x + c = 0
Find the value of the discriminant of the quadratic equation and comment on the nature of the roots. Then solve the equation, rounding irrational roots to the nearest one hundrdth.
2x2 + 11x – 5 = 0
Find the value of the discriminant of the quadratic equation and comment on the nature of the roots. Solve the equation. x2 = 9x
Find the value of the discriminant of the quadratic equation and comment on the nature of the roots. Then solve the equation.
3x2 – 7x + 5 = 0
Find the value of the discriminant of the quadratic equation and comment on the nature of the roots. Solve the equation. 4x2 – 17x = 15
