Chapter 10 QuadratiC EQuations 365
PRACTICE
Identify a, b, and c for ax^2 + bx + c = 0.
- 2x^2 + 9x + 3 = 0
- –3x^2 + x + 5 = 0
- x^2 – x – 6 = 0
- x^2 – 9 = 0
- 2x^2 = 32
- x^2 + x = 0
- x^2 – x = 0
- 9x^2 = 10x
- 8x^2 + 20x = 9
- 4x – 5 – 3x^2 = 0
✔SOLUTIONS
- 2x^2 + 9x + 3 = 0 a = 2 b = 9 c = 3
- −3x^2 + x + 5 = 0 a = −3 b = 1 c = 5
- x^2 − x − 6 = 0 a = 1 b = −1 c = −6
- x^2 − 9 = 0 a = 1 b = 0 c = −9
- 2x^2 = 32 Rewritten: 2x^2 − 32 = 0
a = 2 b = 0 c = −32 - x^2 + x = 0 a = 1 b = 1 c = 0
- x^2 −x = 0 a = 1 b = −1 c = 0
- 9x^2 = 10x Rewritten: 9x^2 − 10x = 0
a = 9 b = −10 c = 0 - 8x^2 + 20x = 9^ Rewritten:^8 x^2 + 20x −^ 9 = 0
a = 8 b = 20 c = −9 - 4x − 5 − 3x^2 =^ 0 Rewritten: −3x^2 + 4x −^ 5 = 0
a = −3 b = 4 c = −5
Before we use the quadratic formula to solve quadratic equations, we will
work with the arithmetic necessary to simplify the equation before using the
formula and with simplifying the expression after we have plugged numbers
from the equation into the formula.
PRACTICE
Identify
- 2xxx^22
PRACTICE
Identify