1. What is the relationship between the sum of the roots (α+β) and the coefficients of a
quadratic equation α2 + bx + c = 0
a. α+β = -b/a
b. α+β = c/a
c. α+β = -c/a
d. α+β = b/a
Answer:
2. If a quadratic equation has roots α and β, what is the product of the roots (α •β) in
terms of the coefficients a, b, c?
a. α •β= b/a
b. α •β= -c/a
c. α •β = c/a
d. α •β = -b/a
Answer:
3. If the discriminant (Δ) of a quadratic equation is zero, what can you conclude about
the roots of the equation?
a. The roots are real and unequal.
b. The roots are real and equal.
c. The roots are complex and conjugates.
d. The roots are imaginary.
Answer:
4. For a quadratic equation αx2 + bx + c = 0, if b2 — 4ac > 0, what does this indicate
about the roots of equation?
a. The roots are real and unequal.
b. The roots are real and equal.
c. The roots are complex and conjugates.
d. The roots have no real roots.
Answer:
5. What is the relationship between the coefficients a, b, and c when the quadratic
equation αx2 + bx + c= 0 has no real roots?
a. b2 — 4ac = 0
b. b2 — 4ac > 0
c. b2 — 4ac < 0
d. a2 — 4bc = 0
Answer:
6. If the quadratic equation 2x2 — 5x + k = 0 has roots α and β, what is the sum of the
roots (α+β)?
a. α+β = -5/2
b. α+β = 5/2
c. α+β = k/2
d. α+β = 2/5
Answer:
7. If the roots of a quadratic equation are p and q, what is the value of p2 + q2 in terms
of the coefficients a, b, and c?
a. p2 + q2 = b2 / a2
b. p2 + q2 = (b2— 2ac) / a2
c. p2 + q2 = (b2 + 2ac) / a2
d. p2 + q2 = (b2 — 4ac) / a2
Answer:
8. If the roots of a quadratic equation are m and n, what is the product of the roots (mn)
in terms of the coefficients a, b, and c?
a. mn = -c/a
b. mn = -c/a
c. mn = b/a
d. mn = -b/a
Answer:
9. If a quadratic equation has roots x = 2 and x = -3, what is the equation in the form αx2
+ bx + c= 0
a. 2x2 + x — 6 = 0
b. 2x2 — x — 6 = 0
c. 2x2 — 5x — 6 = 0
d. 2x2 — 5x — 6 = 0
Answer:
10. If the quadratic equation px2 — 6x + 9 = 0 has roots a and b, what is the value of a + b?
a. a + b = 6/p
b. a + b = -6/p
c. a + b = 9/p
d. a + b = -6/p
Answer:
Math again. (Due Nov.29) Thank you in advance ! Grade 9 math.