Complex Numbers
(10-12i)+(6+4i)
16-8i
Identify a, b, and c. Do not solve.
x2-6x+5=0
a = 1 b = -6 c = 5
What number would you add to complete the square? x2-18x + c
c = 81
Factor x2+8x+15
(x+3)(x+5)
Find the inverse function of y = -4x + 7
y = (x - 7)/-4
(7-5i)-(6+9i)
13-14i
Identify a, b, and c. Do not solve.
5x2-7x=9
a = 5 b = -7 c = -9
Write x2 + 30x + 225 as the square of a binomial.
(x+15)2
Solve x2+5x-24 by factoring.
x = 3 or -8
Simplify
sqrt(360x^5yz^2
6x^2zsqrt(10xy)
Solve the equation and write your answer as a complex number. x2+64=0
x=8i or -8i
State the quadratic formula.
x is equal to -b plus or minus the square root of b2-4ac all over 2a.
Solve by completing the square.
x2+10x=39
x = -13 or 3
Factor 3x2+34x+11.
(x+11)(3x+1)
Solve 5x2-10=20
x=sqrt6 or x =-sqrt6
(4-5i)(3+8i)
52+17i
Solve -3x2+x+5=0
(1+sqrt61)/2 or (1-sqrt61)/2
Solve by completing the square.
x2-24x+44=0
x = 2 or 22
Solve 8x2-34x+24=-11 by factoring.
x = 7/4 or 5/2
Solve the equation
4abs(5x+8)-9=7
x = -4/5 or -12/5
3+2i/2+5i
16-11i
Solve 2x2=4x+30
x = -3 or 5
Find the number that should be added to complete the square.
(4/5)x
4/25
Solve 12x3-22x2-4x by factoring.
x = 0, x = 2, x = -1/6
Write the equation of the function that shifts
y = x2 6 units left and 12 units down.
y=(x+6)^2-12