# Worksheet: Forming a Quadratic Equation from its Roots

In this worksheet, we will practice writing a quadratic equation given its roots.

**Q5: **

Given that and are the solutions of the equation , find the values of and .

- A ,
- B ,
- C ,
- D ,
- E ,

**Q6: **

Given that is a root of the equation , determine the value of .

**Q7: **

If one of the roots of the equation is a root of the equation , what is the value of ?

- A or 0
- B
- C27 or 0
- D0

**Q8: **

If and are the roots of the equation , what is the value of ?

**Q9: **

Given that is one of the roots of the equation , find the value of and the value of the other root.

- A , other root
- B , other root
- C , other root
- D , other root

**Q10: **

Given that a root of the equation is , what is the value of ?

**Q11: **

If and are the roots of the equation , what is the value of ?

**Q12: **

Find the values of for which one of the roots of the equation is the square of the other.

- A24,
- B , 18
- C , 27
- D , 162
- E384,

**Q13: **

Given that 1 and 12 are the roots of the equation , find the values of and .

- A ,
- B ,
- C ,
- D ,
- E ,

**Q14: **

Given that is a solution of the equation , find the value of .

**Q15: **

Given that 3 is a solution of the equation , find the value of .

**Q16: **

Without solving the equation , find the sum of its roots.

- A
- B
- C
- D
- E

**Q17: **

Given that and are the roots of the equation , find the value of .

**Q18: **

Given that the sum of the roots of the equation is equal to their product, find the value of .

**Q19: **

What is the product of the roots of the quadratic equation ?

- A
- B
- C
- D

**Q20: **

If the sum of the roots of the equation is 4, what is the value of ?

**Q21: **

Given that and are the roots of the equation , find the value of .

**Q22: **

The difference between the roots of the equation is . What is the value of ?

**Q23: **

The roots of the equation , where are and . Given that and , does ?

- Ano
- Byes

**Q24: **

If the product of the roots of the equation is , what is the value of ?

**Q25: **

The roots of the equation are positive numbers which are in the ratio . What is the value of ?

- A
- B72
- C26
- D