Solving Equations
Solve the equation and categorize as conditional, identity, or inconsistent.
4(6+5x)=124
x=5
Conditional Equation
Combine the complex numbers. Write your answer in complex form.
(10+5i)+(6-9i)
16-4i
Solve the quadratic equation. Leave your answer in simplified form.
(x+7)(x-5)=0
x=-7,5
Write the interval in set-builder notation.
(5, 11)
{x|5<x<11}
Solve for x. Leave your answer in simplified form.
abs(x)=11
x=+-11
Solve the equation and categorize as conditional, identity, or inconsistent.
-28=-7(3x+4)+21x
Infinite Solutions
Identity
Combine the complex numbers. Write your answer in complex form.
(-9-3i)-(7+10i)
-16-13i
Solve the quadratic equation. Leave your answer in simplified form.
8x^2-12x=0
x=0,3/2
Write the interval in set-builder notation.
(-oo,1]
{x|-oo<x<=1}
Solve for x. Leave your answer in simplified form.
abs(3x)=27
x=+-9
Solve the equation and categorize as conditional, identity, or inconsistent.
12(2x+11)=12(2x+12)
No Solution
Inconsistent Equation
Combine the complex numbers. Write your answer in complex form.
4i(5+2i)
-8+20i
Solve the quadratic equation. Leave your answer in simplified form.
2x^2+3x-9=0
x=-3,3/2
Write the set in interval notation.
{x|7<=x<10}
[7,10)
Solve for x. Leave your answer in simplified form.
abs(x-8)+7=51
x=-36,52
Solve for x.
x/5-1/2=x/6
x=15
Combine the complex numbers. Write your answer in complex form.
(2+4i)(5-4i)
26+12i
Solve the quadratic equation. Leave your answer in simplified form.
7(x-4)^2-3=39
x=4+-sqrt6
Write the set in interval notation.
(1,4]nn[2,6)
[2,4]
Solve for x. Leave your answer in simplified form.
6abs(x+4)-3=75
x=-17,9
Solve the equation. Leave your answer in simplified form.
(x+3)/6=3/8+(x-5)/4
x=33/2
Combine the complex numbers. Write your answer in complex form.
(7+8i)/(3-2i)
x=5/13+(38i)/13
Solve the quadratic equation. Leave your answer in simplified form.
2x^2+6=-2x
x=-1/2+-(isqrt11)/2
Write the set in interval notation.
(-oo,9]uu(8,oo)
(-oo,oo)
Solve for x. Leave your answer in simplified form.
-2abs(7x-5)+9=-41
x=-20/7,30/7