Factoring
Factor: 2x^2-50
2(x+5)(x-5)
Change the following equation from general form to vertex form by completing the square.
y=x^2+6x-5
y=(x+3)^2-14
Find the discriminant: x^2-2x+8=0
What type of solutions will we have?
Discriminant: -28
Type: 2 complex solutions
Simplify the rational expression:
((x-3)(x+4))/((x+4)(x-2))
(x-3)/(x-2)
Solve for x:
(x+1)(x-3)=0
x=-1 and x=3
Factor: 4x^2-7x-15
(4x+5)(x-3)
Change the following equation from general form to vertex form by completing the square.
y=x^2-12x+3
y=(x-6)^2-33
Find the discriminant: 2x^2-x-6=0
What type of solutions will we have?
Discriminant: 49
Type: 2 real solutions
Simplify the rational expression:
(x^2-9)/(x^2+2x-15)
(x+3)/(x+5)
Simplify the root:
sqrt(80)
4sqrt(5)
Solve by factoring.
x^2-6x+5=0
x=5 or x=1
Solve by completing the square:
x^2-2x-24=0
x=-4 or x=6
Solve the following quadratic equation by using the quadratic formula:
x^2+6x+5=0
x=-1 or x=-5
Simplify the rational expression:
(x^2-5x-6)/(x^2+x-42)
(x+1)/(x+7)
Write the factored form of the equation:
y=x^2-7x-60
What are the x-intercepts? (write as ordered pairs)
(-5,0) and (12,0)
Solve by factoring.
x^2-49
x=7 and x=-7
Solve by completing the square:
x^2+6x-91=0
x=7 or x=-13
Solve the following quadratic equation by using the quadratic formula:
x^2+4x+5=0
x=-2+-i
Simplify the rational expression:
(2x+6)/(x^2-9)
2/(x-3)
Solve.
2(x+1)^2-72=0
x=5 and x=-7
Solve by factoring.
2x^2-20x+42=0
x=7 or x=3
Solve by completing the square:
x^2-8x-16=0
x=4+-4sqrt(2)
Solve the following quadratic equation by using the quadratic formula:
x^2+4x+7=0
x=-2+-isqrt(3)
Simplify the rational expression:
(3x^2-75)/(2x^2-7x-15)
(3(x+5))/(2x+3)
Solve.
3(x-1)^2+27=0
x=1+-3i