For the quadratic equation x^2 + (6)x + 8 = 0, determine the nature of its roots.
Correct answer(s):
- two distinct real roots
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For the quadratic equation x^2 + (5)x + 7 = 0, determine the nature of its roots.
Correct answer(s):
- no real root
For the quadratic equation x^2 + (4)x + 6 = 0, determine the nature of its roots.
Correct answer(s):
- no real root
For the quadratic equation x^2 + (3)x + 5 = 0, determine the nature of its roots.
Correct answer(s):
- no real root
For the quadratic equation x^2 + (2)x + 4 = 0, determine the nature of its roots.
Correct answer(s):
- no real root
For the quadratic equation x^2 + (1)x + 3 = 0, determine the nature of its roots.
Correct answer(s):
- no real root
For the quadratic equation x^2 + (0)x + 2 = 0, determine the nature of its roots.
Correct answer(s):
- no real root
For the quadratic equation x^2 + (-1)x + 1 = 0, determine the nature of its roots.
Correct answer(s):
- no real root
For the quadratic equation x^2 + (-2)x + 0 = 0, determine the nature of its roots.
Correct answer(s):
- two distinct real roots
For the quadratic equation x^2 + (-3)x + -1 = 0, determine the nature of its roots.
Correct answer(s):
- two distinct real roots
For the quadratic equation x^2 + (-4)x + -2 = 0, determine the nature of its roots.
Correct answer(s):
- two distinct real roots
For the quadratic equation x^2 + (-5)x + -3 = 0, determine the nature of its roots.
Correct answer(s):
- two distinct real roots
For the quadratic equation x^2 + (-6)x + -4 = 0, determine the nature of its roots.
Correct answer(s):
- two distinct real roots
For the quadratic equation x^2 + (-7)x + -5 = 0, determine the nature of its roots.
Correct answer(s):
- two distinct real roots
For the quadratic equation x^2 + (-8)x + -6 = 0, determine the nature of its roots.
Correct answer(s):
- two distinct real roots
For the quadratic equation x^2 + (-9)x + -7 = 0, determine the nature of its roots.
Correct answer(s):
- two distinct real roots
For the quadratic equation x^2 + (-10)x + -8 = 0, determine the nature of its roots.
Correct answer(s):
- two distinct real roots
For the quadratic equation x^2 + (-11)x + -9 = 0, determine the nature of its roots.
Correct answer(s):
- two distinct real roots
Select all expressions equal to 9(x + 8).
Correct answer(s):
- 9 × (x + 8)
- 9x + 72
Select all statements true for the equation x^2 – 16x + 64 = 0.
Correct answer(s):
- Sum of roots is 16
- Product of roots is 64