MAT11L15 Nature of the roots basics

Say 'TRUE' or 'FALSE'
Every Quadratic equation has exactly one root

• TRUE
• FALSE

Say 'TRUE' or 'FALSE'
A quadratic equation ax² + bx + c = 0 has equal roots, then b² - 4ac = 0 

• TRUE
• FALSE

Can 0 be a root of a quadratic equation?

• Yes. Possible
• No. Not posssible

What is the discriminant in the Quadratic Formula?

• -b + 4ac

• b - 4ac

• -b² - 4ac

• b² - 4ac

Find the discriminant: 3k² + k - 1 = 0

• 36

• 13

• -20

• -11

What can the roots to a quadratic equation be called?

• y-intercepts

• solutions

• x-intercepts

• none of the choices

Use the discriminant to find the number of solutions for the following equation.

y = x² +10x + 25

• 2 solutions

• 1 solution

• 0 solutions

Does this graph have any roots?

• yes

• no

• I am not sure.

If discriminant of a quadratic equation is negative, then roots of the equation are __________.

• Rational roots

• Equal roots

• Unequal roots

• non-real roots

Find the nature of roots in the quadratic equation 3x² - 9x+5=0

• Real, rational, and Equal

• Real, rational, and unequal

• Non-real

• Real, irrational, and unequal.