Solve each equation by factoring.
x^2+23x+90
{-5, -18}
x2 + 1 = 9
x= 2sqrt2 and x=-2sqrt2
a2 + 14a - 51 = 0
{3, -17}
m2 − 5m − 14 = 0
{7, −2}
What is the term for the portion of the quadratic equation under the radical?
discriminant
9n2 + 39n = -36
-4/3, -3
2x2+72=0
x=6i and x=-6i
x2 − 12x + 11 = 0
{11, 1}
b2 − 4b + 4 = 0
{2}
What is the square root of -1?
i
7r2 + 84 = -49r
-4, -3
5x2-10=6
x=4sq5/5 and x=-4sq5/5
n2 = 18n + 40
{20, −2}
2x2 − 3x − 5 = 0
{5/2 , −1}
What methods can be used to solve the following equation?
y = x2 − 6x + 5
quadratic formula
factoring
3v2 + 7v = 40
8/3, -5
y = a2 - 2
y=18
a = 2sqrt5
or
a =-2sqrt5
x2 − 10x + 26 = 8
{5 + square root 7, 5 square root − 7}
9n2 = 4 + 7n
{ 7 + square root of 193 / 18, 7 - square root of 193 / 18}
How many x-intercepts does the following equation have?x
x2+4x+15=0
0
49p2 + 371p - 163 = 5
3/7, -8
y = 3(x + 7)2 - 24
x = -7 + 2 square root of 2
or
x = -7 - square root of 2
(4x + 1)2 - 8 = 0
x = -1/4 + (sqrt 2)/4
or
x = -1/4 - (sqrt 2)/4
-2x2-7=20+2x2
x=3isqrt3/2 and x=-3isqrt3/2
What is the name of Mr. Knust's dog?
Henry