Question 1

1.if b²- 4ac $>$ 0 and perfect square,then the roots of ax $^2$ - bx+ c= 0 are real and rational.

Accepted Answer

Always True

Answer

Maybe True

Answer

Sometime True

Answer

Never True

Question 2

2.if b²- 4ac $>$ 0 ,then the roots of ax $^2$ - bx+ c= 0 are real and irrational.

Accepted Answer

Never True

Answer

Maybe True

Answer

Sometime True

Answer

Always True

Question 3

3.if b²- 4ac $>$ 0 then the roots of ax $^2$ - bx+ c= 0 are real and irrational.

Accepted Answer

Never True

Answer

Always True

Answer

Sometime True

Answer

Maybe True

Question 4

4.Find p so that px²+ 12x +36 =0 has one real root.

Accepted Answer

p=1

Answer

p = 4

Answer

p = 8

Answer

p=2

Question 5

5. Describe the discriminant and nature of the roots of 2x²+5x +3 = 2

Accepted Answer

The discriminant is greater than 0 and is not a perfect square, the roots are real and irrational.

Answer

The discriminant is equal to 0, the roots are equal and real.

Answer

The discriminant is greater than 0 and is perfect square, the two roots are real and rational.

Answer

The discriminant is less than 0, the roots are non-real.

Question 6

6. Determine the value of the discriminant of x²- 5x +6 =0

Accepted Answer

1

Answer

36

Answer

16

Answer

25

Question 7

7. Determine the value of the discriminant of 2x²+5x +1 =0

Accepted Answer

17

Answer

14

Answer

15

Answer

16

Question 8

8. Determine the value of the discriminant of x²-5x +8 =0

Accepted Answer

-7

Answer

7

Answer

44

Answer

49

Question 9

9. Determine the characteristics of the roots of 9x²-6x + 1= 0

Accepted Answer

one real root

Answer

Two real roots and rational

Answer

Two real roots and irrational

Answer

No real root

Question 10

10. Determine the characteristics of the roots of x²-6x + 9= 0

Accepted Answer

one real root

Answer

Two real roots and irrational

Answer

No real root

Answer

Two real roots and rational

Question 11

11. The product of the roots of a quadratic equation is equal to the constant term, divided by the leading coefficient.

Accepted Answer

Always True

Answer

Never True

Answer

Sometimes True

Answer

Often True

Question 12

12. The product of the roots of a quadratic equation is equal to the negation of the coefficient of the second term, divided by the leading coefficient.

Accepted Answer

Never True

Answer

Sometimes True

Answer

Always True

Answer

Often True

Question 13

13.The product of the roots of a quadratic equation ax²+bx +c = 0 is ________

Accepted Answer

$\frac{c}{a}$

Answer

- $\frac{c}{a}$

Answer

$\frac{c}{a}$

Answer

$\frac{c}{a}$

Question 14

14.The sum of the roots of a quadratic equation ax²+bx +c = 0 is ________

Accepted Answer

- $\frac{c}{a}$

Answer

$\frac{c}{a}$

Answer

$\frac{c}{a}$

Answer

$\frac{c}{a}$

Question 15

15. Which equation has roots whose sum is -17 and whose product is 60?

Accepted Answer

x²+ 17x +60 =0

Answer

x²- 60x +17 =0

Answer

x²+ 17x - 60 =0

Answer

x²+ 60x -17 =0

Question 16

16. What is the initial step in finding the quadratic equation if the sum and product of the roots are given?

Accepted Answer

Start with the standard form of the quadratic equation.

Answer

Represent the linear term by the sum of roots formula.

Answer

Divide all terms by the leading coefficient.

Answer

Substitute

Question 17

17.If (x+a)(x+a) = x² - 9x + 18,then what are the values for a and b

Accepted Answer

a = -3, b = -6

Answer

a = -3, b = 6

Answer

a = 3, b= 6

Answer

a = 6, b = 3

Question 18

18. Find the quadratic equation in which the sum of the solutions is -4 and the product of the solution is -5.

Accepted Answer

2x²+ 8x -10 =0

Answer

2x²+ 8x +10 =0

Answer

-2x² - 8x +10 =0

Answer

-2x²- 8x - 10 =0

Question 19

19. Solve for the sum and product of the roots of the quadratic equation

3x²- 7x +6 =0

Accepted Answer

Sum = $\frac{c}{a}$ Product =0

Answer

Sum =0 Product = $\frac{c}{a}$

Answer

Sum = 2 Product = - $\frac{c}{a}$

Answer

Sum = - $\frac{c}{a}$ Product = 2

Question 20

20. If the sum of roots of the quadratic equation (x+ 8)(x+5) =0 is equal to -13, then find the value of its product.

Accepted Answer

40

Answer

13

Answer

-40

Answer

-13

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