Solve each equation by factoring OR using quadratic formula.
p2 + -2p - 10 = 5
5, -3
m2 − 5m − 14 = 0
{7, −2}
4x2 + 25 = 125
x= 5 or x = -5
a2 + 14a - 51 = 0
{3, -17}
How many solutions does the following system have?
y = x² - 2x - 3
y = -5
No solution
9n2 + 39n = -36
-4/3, -3
b2 − 4b + 4 = 0
{2}
(4x + 1)2 - 16 = 0
x = 3/4 or x = -5/4
x2 − 12x + 11 = 0
{11, 1}
How many solutions does the following system have?
y = -x² + 2x + 7
y = -2x + 2
2 solutions
7r2 + 84 = -49r
-4, -3
2x2 − 3x − 5 = 0
{5/2 , −1}
34 = (a - 2)2 - 2
a = 8 or a = -4
n2 = 18n + 40
{20, −2}
Solve using substitution.
y=x² + 4x + 5
y = 2x + 3
(-4, -5) and (2, 7)
3v2 + 7v = 40
8/3, -5
9n2 = 4 + 7n
Round to the nearest thousandth
x = -0.383 or x = 1.161
0 = 3(x + 7)2 - 24
Round to the nearest thousandth
x = -4.17
or
x = -9.83
x2 − 10x + 26 = 8
{5 + square root 7, 5 square root − 7}
Solve using substitution.
y=x² - 6x + 5
2x + y = 5
(0,5) and (4, -3)