Quadratic Equations with Rational, Irrational, Complex Roots

What is the formula for the discriminant?

• x = -b/2a

• b² - 4ac

• a² + b² = c²

• x = [-b±√(b²-4ac)]/2a

Given that the value of a=−5, b= 1, c= 3  find the discriminant,  b^2−4ac 

• 41

• 51

• 61

• 71

If D > 0 but not a perfect square, the quadratic equation is said to have 2 real solutions which are ______

• rational and unequal

• irrational and unequal

• 
  rational and equal/repeated

• imaginary and complex

The quadratic function y = -2x² + 4x + 6 is pictured. What are the solutions to the equation 7.5 = -2x² + 4x + 6?

• x = 0.5

• x = 1.5

• x = 1

• x = 8

• x = 6

Select the solutions to the equation

4x² + 11x + 7 = 0

• x = - 1.75

• x = 6

• x = - 1

• x = 1

If D > 0 and a perfect square, the roots are _________

• rational and unequal

• irrational and unequal

• rational and equal/repeated

• imaginary and complex

If D < 0, the roots are _________

• Rational and Unequal

• Irrational and Unequal

• Rational and Equal/Repeated

• Imaginary and Complex

Give the Nature of the Roots of a given Quadratic Equations with the following DISCRIMINANT:

D = 4

• The roots are RATIONAL AND EQUAL

• The roots are RATIONAL AND UNEQUAL

• The roots are IRRATIONAL AND EQUAL

• The roots are IRRATIONAL AND UNEQUAL

Give the Nature of the Roots of a given Quadratic Equations with the following DISCRIMINANT:

D = 8

• The roots are RATIONAL AND EQUAL

• The roots are RATIONAL AND UNEQUAL

• The roots are IRRATIONAL AND EQUAL

• The roots are IRRATIONAL AND UNEQUAL

Give the Nature of the Roots of a given Quadratic Equations with the following DISCRIMINANT:

D = 0

• The roots are RATIONAL AND EQUAL

• The roots are RATIONAL AND UNEQUAL

• The roots are IRRATIONAL AND EQUAL

• The roots are IMAGINARY OR COMPLEX