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Quadratic Equations

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1. 8x^2 - 24x = 9

2. choose from the following a quadratic with solutions of 9 and 3
a. x^2 - 10x + 27 = 0
b. x^2 - 12x + 27 = 0
c. x^2 - 14x + 25 = 0
d. x^2 - 12x + 29 = 0

3. The height h (in feet) of and object is dropped from the height of s feet is given by the formula h= s - 16t^2, where t is the time the object has been falling. A 4 foot tall woman on a sidewalk looks directly over head and sees a window washer drop a bottle from the 5 story. How long does she have to get out of the way? Round ti the nearest tenth. (A story is 12 feet.) choose the answer from the following:

4. The hypotenuse of a right triangle is 2.6 units long. The longer leg is 1.4 units longer than the shorter leg. Find the length if the sides of the triangle.

Solve using the quadratic formula.
5. x^2 - 3x = 2x - 1
6. x^2 - 5x -3 = -7

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Solution Summary

Quadratic Equations are solved. Functions are solved. The length of the sides of a triangle are determined.

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1. 8x^2 - 24x = 9
8x^2 - 24x - 9 = 0

X1 = (6 + 3 * SQRT (6) )/4
X2 = (6 - 3 * SQRT (6) )/4

2. choose from the following a quadratic with solutions of 9 and 3
a. x^2 - 10x + 27 = 0
b. x^2 - 12x + 27 = 0
c. x^2 - 14x + 25 = 0
d. x^2 - 12x + 29 = 0

Answer:
b. x^2 - 12x + 27 = 0

3. The ...

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