Any equation whose largest
exponent is 2 is a quadratic
equation.
Already factored.
x + 1 = 0 or x - 2 = 0
x = -1
or x = 2
Just set each factor
equal to 0 and solve.
x = 0 or x - 3 = 0
x =0
or x = 3
1
3x2 + 3x + 1 = -x
y2 - 3y + 2 = 0
3x2 + 3x + x + 1 = 0
(y - 1)(y - 2) = 0
y - 1 = 0 or y - 2 = 0
y =1
or y = 2
Remember that you can check your
answers using LS/RS.
2t2 + 11t + 5 = 0
2t2 + 10t + t + 5 = 0
2t(t + 5) + 1(t + 5) = 0
2(5x2 - 8x + 3) = 0
P = 2 x 5 = 10
S = 11
3x(x + 1) + 1(x + 1) = 0
(x + 1)(3x + 1) = 0
2y2 - 3y - 2 = 0
2y - 4y + y - 2 = 0
2
P = 2 x (-2) = -4
S = -3
2y(y - 2) + 1(y - 2) = 0
(y - 2)(2y + 1) = 0
-1
y = 2 or y =
2
P = 5 x 3 = 15
S = -8
2[5x2 - 5x - 3x + 3] = 0
2[5x(x - 1) - 3(x - 1)] = 0
2(x - 1)(5x - 3) = 0
x = 1 or x = 3
5
S= 4
3x + 3x + x + 1 = 0
2
x + 1 = 0 or 3x + 1 = 0
-1
x = -1 or x =
3
(t + 5)(2t + 1) = 0
t = -5 or t = -1
2
10x2 - 16x + 6 = 0
P =3x 1=3
3x2 + 4x + 1 = 0
n(5n - 8) = 0
n = 0 or 5n - 8 = 0
8
n =
5
2