Finding Rational Roots and Solutions

Given the equation x²+ 5x + 4 = 0, find the value of b²- 4ac.

• 12

• 8

• 9

• 25

If the discriminant is a perfect square, the nature of the roots is:

• Rational and unequal

• Real and equal

• Irrational and unequal

• Imaginary

If the value of the discriminant is 64, how many solutions does it have?

• 2

• 1

• 0

• 3

What is the nature of the roots of a quadratic equation if the value of its discriminant is ZERO?

• The roots are not real

• The roots are rational and equal

• The roots are irrational and equal

• The roots are irrational and not equal

A function has a discriminant of 25.

How many solutions does it have?

• A. 0

• B. 1

• C. 2

• D. 5

Determine the value of the discriminant and the nature of the solution/s for the given equation below.

• A. 256

  2 Rational Real Roots

• B. √(-256

  2 imaginary roots

• C. √(137)

  2 Irrational Real Roots

• D. 123

  2 Rational Real Roots

• A. S= 1/5 and P= -2/15

• B. S= 5 and P= -2/3

• C. S= -2/15 and P= 1/5

• D. S= -2/3 and P= 5

Find the quadratic equation if the sum of the zeroes/roots is 5 and the product of the zeroes/roots is 10.

Solve by factoring:  2x²+ 7x + 6 = 0

• x= 3/2 and x = 2

• x = -3/2 and x = -2

• x = 6 and x = 7

• x = -6 and x = -7

Solve.
n² - 2n = 0

• n = 2 and 0

• n = -2 and 0

• n = 2

• n = 0