Quadratic Formula
What is the value of the discriminant?
x2-10x+25=0
0
Solve by completing the square.
x2 + 2x - 8 = 0
{-4,2}
Write each function in vertex form.
y = x2 + 10x + 17
y = (x+5)2 - 8
Factor and solve.
20z2 + 15z = 0
{ 0, -.75 }
Write a quadratic equation in standard form given -4 and 2 are roots.
x2 + 2x - 8 = 0
Solve using the quadratic formula.
x2-10x+25=0
5
Solve using the Square Root Property.
x2 - 2x + 1 = 4
{-1,3}
What is the vertex of:
y = x2 + 10x + 17
(-5,-8)
Factor and solve.
4k2 + 16k = 0
{0,-4}
Write a quadratic equation in standard form given -8 and 5 are roots.
x2 + 3x - 40 = 0
How many roots and what type of roots does the following equation have?
x2+4x-32=0
2 rational real roots
Solve by completing the square.
x2 + 4x + 6 = 0
-2 plus or minus i times the square root of 2
Write each function in vertex form.
y = x2 - 22x + 125
y = (x-11)2 + 4
Solve by factoring this perfect square.
x2 + 16x + 64 = 0
-8
Write a quadratic equation in standard form given 3/4 and -5 are roots.
4x2 + 17x - 15 = 0
How many roots and what type of roots does the following equation have?
x2-2x+9=0
2 complex roots
Solve by completing the square.
x2 - 4x + 3 = 0
{1,3}
What is the vertex of:
y = x2 - 22x + 125
(11,4)
Factor and solve.
2x2 - 2x - 24 = 0
{-3,4}
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Solve using the quadratic formula.
x2-2x+9=0
1 plus or minus 2i times the square root of 2
Solve by using the Square Root Property.
x2 + 32x + 256 =1
{-17,-15}
Write each function in vertex form.
y = 2x2 - 4x + 5
y = 2(x-1)2 + 3
Use the difference of squares to solve.
x2 - 49 = 0
{-7,7}
Write a quadratic equation in standard form given 6 and 5 are roots.
x2 - 11x + 30 = 0