Solving Quadratic Equations Worksheet By Using The Quadratic Formula With Answers Page 4
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109-5 Solving Quadratic Equations by Using the Quadratic Formula
It takes about 1.9 seconds for the riders to drop 60
The solutions are –3.7 and 1.1.
feet.
Solve each equation. State which method you
28. AMUSEMENT PARKS The Demon Drop at
used.
Cedar Point in Ohio takes riders to the top of a tower
2
and drops them vertically 60 feet. A function that
30. 3x
− 24x = −36
2
approximates this drop is h = −16t
+ 60, where h is
SOLUTION:
the height in feet and t is the time in seconds. About
Solve by using the quadratic formula.
how many seconds does it take for riders to drop 60
Write the equation in standard form.
feet?
SOLUTION:
2
−16t
+ 60 = 0
For this equation, a = 3, b = –24, and c = 36.
For this equation, a = –16, b = 0, and c = 60.
Use the Quadratic Formula.
The solutions are 6 and 2.
2
32. 4x
+ 100 = 0
SOLUTION:
It takes about 1.9 seconds for the riders to drop 60
Solve using the quadratic formula.
feet.
First, check the value of the discriminant.
For this equation, a = 4, b = 0, and c = 100.
Solve each equation. State which method you
used.
2
30. 3x
− 24x = −36
The discriminant is negative, so the equation has no
SOLUTION:
real solutions, ø.
Solve by using the quadratic formula.
2
Write the equation in standard form.
34. 12 − 12x = −3x
SOLUTION:
Solve by factoring.
For this equation, a = 3, b = –24, and c = 36.
Write the equation in standard form.
Use the Quadratic Formula.
Factor.
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