Non-linear equations (one variable)

Answer explanation

Don't forget to set your quadratic to zero before using the quadratic formula!

Solve using the quadratic formula. 8x² + 9x - 329 = 0

• x = 103, x = -2

• x = -7, x = 47/8

• x = -7, x = 35/8

• x = -19/3, x = 7

What is the discriminant of -4x² − 4x + 5 = 0

• 84
• -64
• 96
• none of these

 $2x^2\ =\ 8x\ +\ 3$  Solve the equation:

•  $\frac{4\pm\sqrt{22}}{2}$  

•  $\frac{4\pm\sqrt{10}}{2}$  

•  $-\frac{4\pm\sqrt{22}}{2}$  

•  $-\frac{4\pm\sqrt{10}}{2}$  

What is the discriminant of -2x² − x − 1 = 0?

• 76

• -7

• 9

• none of these

• -1.623

• -1.6

• -6.123

• -1.941

Solve the quadratic equation.

5x²  - x - 10 = 0

• A    2.30, -1.30

• B  1.51, -1.31

• C . 3.37, -2.37

• D . 1.16, -1.36

Solve : x² = 3x + 3

• x = (- 3 ± √21) ∕ 2

• x = ( 3 ± √21) ∕ -2

• x = ( 3 ± √-21) ∕ 2

• x = ( 3 ± √21) ∕ 2

When using the Quadratic formula you have to identify a, b, and c. Which answer does this correctly?

• a = 6, b = 1, c = 1

• a = -6, b = -1, c = 1

• a = -1, b = 6, c = 1

• a = 1, b = -1, c = -6