Nature of Roots of Quadratic Equation

The formula for the discriminant is...

• ax² + bx + c

• b² + 4ac

• b² - 4ac

• b - 4ac

If the discriminant is equal to -7 the roots will be...

• Real, rational & equal

• Real, rational & unequal

• Real, irrational & unequal

• imaginary

If the discriminant is equal to 0 the roots will be...

• Real, rational & equal

• Real, rational & unequal

• Real, irrational & unequal

• Imaginary & unequal

If the discriminant is equal to 49 the roots will be...

• Real, rational & equal

• Real, rational & unequal

• Real, irrational & unequal

• imaginary

The roots of x² + 3x - 1 = 0 will be

• Real, rational & equal

• Real, rational & different

• Real, irrational & different

• Non-real & different

What is the formula in finding the SUM of the roots of quadratic equation?

• -b / a

• c / a

What is the SUM of the roots of quadratic equation x² + 13x + 42 = 0?

• -42

• -13

• 13

• 42

Determine the PRODUCT of the roots of the given quadratic equation below:
 14x^2 +3x-5=0

  

• -5/14

• -3/14

• 3/14

• 5/14

Find the quadratic equation whose roots are 3 and 8.

• x² + 3x + 8 = 0

• x² - 3x + 8 = 0

• x² + 11x + 24 = 0

• x² - 11x + 24 = 0

Determine the value of the discriminant and name the nature of the solution for the following:

x² + 2x - 63 = 0

• 256 - 2 different, Real & Rational roots

• √(-256) - 2 different non-Real roots

• √(137) - 2 different Real & Irrational roots

• 123 - 2 different Real & Rational roots