Nature of Roots of a quadratic equations

1. The discriminant is...

• ax² + bx + c

• b² - 4ac

• b² + 4ac

• b - 4ac

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

• Real, rational & equal

• Real, irrational & different

• Real, rational & different

• Non-real & different

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

• Real, rational & equal

• Real, irrational & different

• Real, rational & different

• Non-real & different

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

• Real, rational & equal

• Real, irrational & different

• Real, rational & different

• Non-real & different

5. The roots of x² + 3x - 1 = 0 will be

• Real, rational & equal

• Real, irrational & different

• Real, rational & different

• Non-real & different

6. Which is true for the equation x^2-5x+12=0?

• There are two real roots

• There are no real roots

• There is one one repeated root

• There are two rational roots

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

• 
  ​ $\frac{-b}{a}$  
  

•  $\frac{c}{a}$  

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

• -42

• -13

• 13

• 42

9. What is the PRODUCT of the roots of x² – 15x + 26 = 0?

• -26

• -15

• 15

• 26

10. Determine the SUM of the roots of the given quadratic equation below:

3x^2+11x-4=0

• $-\frac{11}{3}$

• $\frac{4}{3}$

• $\frac{11}{3}$

• $-\frac{4}{3}$