Solve quadratics

The discriminant is

• ax²  + bx  +  c
• - b/2a
• b² - 4ac
• b² + 4ac

Solve x^2 - 3x - 4 = 0 using the quadratic formula.

•  x = 4 and -1
• x = -4 and -1
• x = 4 and 1
• x = -4 and 1

A painter has been commissioned to paint a 10 foot by 15 foot mural on the outside of the city hall building. The mural will be surrounded by a uniform border having a width of x.

If the area of the entire wall is 260 square feet, what is the width of the border to the nearest hundredth of a foot? (Find x)

• 11.91 ft

• 1.73 ft.

• 2.31 ft

• 1.91 ft

Solve the following equation by completing the square:
n² - 2n - 3 = 0

• {3 and-1}
• {4 and -4}
• {5 and -3}
• {8 and -7}

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}
• {-6 + √13, -6 - √13}
• {6 + √59, 6 - √59}
• {-6 + √59, -6 - √59}

Use the quadratic formula to find the solutions for
0 = -x² - 5x + 12

• -4.9 and -0.1
• -8.54 and 8.54
• -0.45 and 3.55
• -6.77 and 1.77

Use the quadratic formula to find the solutions for
2x² - 9x + 5 = 0

• -8.14 and 6.14
• -4.07 and 3.07
• 3.85 and 0.65
• ZERO solutions

Solve Using the Quadratic Formula
 x² + 4x - 40 = -8

• -10 & -4
• -4 & 10
• -8 & 4
• 8 & -4

A rectangular picture frame contains a 12” x 14” picture. What is the width of the frame if the total area of the picture AND the frame is 288 square inches?

• 2"

• 4"

• 8"

• 15"

Solve by the Square Root method: x² = 16

• ± 4

• ± 8

• 4

• 8