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Worksheet: Writing a Quadratic Equation given the Roots
Q3:
Given that and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .
- A
- B
- C
- D
- E
Q4:
Given that and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .
- A
- B
- C
- D
- E
Q5:
If and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .
- A
- B
- C
- D
- E
Q6:
Given that and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .
- A
- B
- C
- D
- E
Q7:
Given that and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .
- A
- B
- C
- D
- E
Q8:
The roots of the equation are and , where . Find the value of , and determine, in its simplest form, the equation whose roots are and .
- A ,
- B ,
- C ,
- D ,
- E ,
Q9:
Given that and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .
- A
- B
- C
- D
- E
Q10:
Given that and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .
- A
- B
- C
- D
- E
Q11:
Given that and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .
- A
- B
- C
- D
- E
Q12:
Given that and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .
- A
- B
- C
- D
- E
Q13:
If and are the roots of the equation , what is the value of ?
- A
- B
- C
- D
- E35
Q14:
Without solving the equation , find the sum and the product of its roots.
- AThe sum is , and the product is 31.
- BThe sum is , and the product is .
- CThe sum is 27, and the product is 31.
- DThe sum is , and the product is .
- EThe sum is , and the product is 2.
Q15:
Given that and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .
- A
- B
- C
- D
- E
Q16:
Given that and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .
- A
- B
- C
- D
- E
Q17:
The roots of the equation , where , are and . Given that , does ?
- Ayes
- Bno
Q18:
Without solving the equation , find the sum of its roots.
- A
- B
- C
- D
- E
Q19:
What is the product of the roots of the equation ?
- A
- B
- C
- D
- E
Q20:
Given that and are the two roots of the equation , find the values of and .
- A ,
- B ,
- C ,
- D ,
- E ,
Q21:
Find the sum and the product of the roots of the equation without solving it.
- AThe sum is 33, the product is 39.
- BThe sum is 11, the product is 13.
- CThe sum is , the product is 39.
- DThe sum is , the product is 13.
- EThe sum is 33, the product is 3.
Q22:
Given that and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .
- A
- B
- C
- D
- E
Q23:
If and are the roots of the equation , what is the value of ?
- A
- B
- C
- D
- E10
Q24:
Given that each root of the equation is the multiplicative inverse of the other, find all possible values of .
- A3
- B9
- C
- D
- E1
Q25:
The sum of the roots of the equation is equal to the product of the roots of the equation . Find the possible values of .
- A1 or
- B3 or
- C or
- D or 6
- E3 or 12