Simplifying Expressions
Simplify
sqrt(36)
6
Add the following complex numbers
(2-5i)+(4-9i)
6-14i
Solve the following equation
x^2=4
x=+-2
Complete the square (find the value of c)
x^2+8x+c
c=16
x^2+8x+16
Identify the values of a, b, and c
for the following equation
x^2+4x+3=0
a=1, b=4, c=3
Simplify
sqrt(-25)
5i
Subtract the following complex numbers
(10-6i)-(5+8i)
5-14i
Solve the following equation
(x-5)^2=36
x=11 or -1
Factor the following expression
x^2-14x+49
(x-7)^2
Identify the values of a, b, and c
for the following equation
5x^2-3x=-5
a=5, b=-3, c=5
Simplify
(sqrt(3))(sqrt(6))
3sqrt(2)
Multiply the following complex numbers
(6+2i)(-3-5i)
-8-36i
Solve the following equation
3x^2+7=43
x=+-2sqrt3
Complete the square (find the value of c), then factor the following expression
x^2-6x+c
c=9
x^2-6x+9
(x-3)^2
Identify the values of a, b, and c
for the following equation
2x^2-36=-6x
a=2, b=6, c=-36
Simplify
sqrt(-32)
4isqrt(2)
Rationalize and Simplify
6/(2-i)
(12+6i)/5
Solve the following equation
2(x-7)^2=48
x=7+-2sqrt6
Solve the following equation by completing the square
x^2+2x=3
x=1 or -3
Substitute the following values of a, b, and c into the Quadratic Formula
a=3, b=-3, c=12
x=(-(-3)+-sqrt((-3)^2-4(3)(12)))/(2(3))
Rationalize and Simplify
sqrt(49)/sqrt(3)
(7sqrt(3))/3
Rationalize and Simplify
(6-i)/(4+5i)
(29-34i)/41
Solve the following equation
5(x-3)^2-50=0
x=3+-sqrt10
Solve the following equation by completing the square
x^2+4x-2=0
x=-2+-sqrt6
Solve the following equation using the Quadratic Formula
6x^2-12x+4=0
x=(3+-sqrt3)/3