Complex Numbers
What is i?
Solve for the roots.
(x-3)^2=25
-2 and 8
Solve using the quadratic formula
x^2-5x-14=0
7 and -2
Solve the following equations by completing the square
x ^2 + 6x + 8 = 0
-2 and -4
a2 + 14a - 51 = 0
3, -17
Simplify the expression.
(4 + 2i) + (3 + 5i)
7 + 7i
Solve for the roots.
x^2-49=0
+7 and -7
Solve using the quadratic formula
2x^2+2x-12=0
2 and -3
Solve the following equations by completing the square
x ^2 + 14x − 15 = 0
1 and -15
x2 − 12x + 11 = 0
11, 1
Simplify the expression.
sqrt(-24)
2isqrt(6)
Solve for the roots.
x^2+16=0
+4i and -4i
Solve using the quadratic formula
x^2-4x+4=0
2
Solve the following equations by completing the square
n^ 2 − 2n − 3 = 0
3 and -1
n2 = 18n + 40
20, −2
Simplify the expression.
(8 + 2i) - (4 - 3i)
4 + 5i
Solve for the roots.
9x^2 + 5 = 41
-2 and 2
Solve using the quadratic formula
2x^2+3x-20=0
5/2 and -4
Solve the following equations by completing the square
k ^2 − 12k + 23 = 0
6+-\sqrt13
x2 − 10x + 26 = 8
5+sqrt7, 5-sqrt7
Simplify the expression.
sqrt(-7)*sqrt(-7)
-7
Solve for the roots.
2x^2-200=0
-10 and 10
Solve using the quadratic formula
2x^ 2 − 7x − 13 = −10
(7+-\sqrt73)/4
Solve the following equations by completing the square
p^ 2 + 14 p − 38 = 0
-7 +- \sqrt87
x^2+1=x
(1+isqrt3)/2, (1-isqrt3)/2