Complex numbers (imaginary)
Please simplify:
(-1 - 8i) + (-4 - i)
-5 - 9i
Please solve:
x² - 2x - 3 = 0
x = 3, −1
Please solve using the discriminant to tell me how many and what type of solutions you will get:
2x2 + 3x − 20 = 0
2 Real solutions
Use polynomial identities to solve:
(x+3)²
= x² + 6x + 9
Please simplify
3 + 3i + 8 - 2i - 7
4 + i
Please solve:
x² + 14x - 38 = 0
-7 ± √87
Please solve:
m2 − 5m − 14 = 0
x = 7, -2
Please solve using substitution or elimination:
y=x² + 5x - 2
y = 3x - 2
(0,-2) and (-2, -8)
Use polynomial identities to solve:
x³ + 64
remember you have to find the cube root of 64 before plugging in your b value!
= (x + 4)(x² - 4x + 16)
Please simplify:
(-2-i)(4+i)
-7 - 6i
Please solve:
k2 − 12k + 23 = 0
k=6 ± √13
Please solve:
b2 − 4b + 4 = 0
x = 2
Please solve using substitution or elimination:
y=-x² - 6x - 6
y = 3
(-3,3)
Use polynomial identities to solve:
x³ - 8
Remember you have to cube root 8 before you can replace your b value into the equation.
=(x - 2)(x² + 2x + 4)
Please simplify:
(8-6i)(-4-4i)
-56-8i
Please solve:
k2 − 4k + 1 = −5
x = 2 ± i√2
Please solve:
2m2 − 7m − 13 = −10
Remember, you have to set the equation equal to zero first by adding 10 over from the right side.
x=(7±sqrt(73))/4
Please solve using substitution or elimination:
y=x² + 2x - 3
y = 2x + 1
(-2,-3)(2,5)
use polynomial identities to solve:
x² - 25
Remember you have to square root 25 before replacing your b value into the equation.
= (x+5)(x-5)
Please simplify:
6(-7+6i)(-4+2i)
96-228i
Please solve:
b2 + 2b = −20
b = −1 ± i √19
Please solve:
9n2 = 4 + 7n
Remember you must move everything over and equal the equation to zero first.
x = (7±sqrt(193))/18
Please solve using substitution or elimination:
y=-2x² - 4x - 1
y = 2x + 4
No solution
Use polynomial identities to solve:
x3 − 27
(x − 3)(x2 + 3x + 9)