Solving Quadratic Equations Worksheet By Using The Quadratic Formula With Answers Page 3
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109-5 Solving Quadratic Equations by Using the Quadratic Formula
The solutions are
.
The solutions are 1.9 and 0.1.
2
2
20. 2x
− 5x = −7
24. 4x
= −16x − 16
SOLUTION:
SOLUTION:
Write the equation in standard form.
Write the equation in standard form.
For this equation, a = 2, b = –5, and c = 7.
For this equation, a = 4, b = 16, and c = 16.
The discriminant is negative, so the equation has no
real solutions, Ø.
2
22. 81x
= 9
The solution is –2.
SOLUTION:
2
Write the equation in standard form.
26. −3x
= 8x − 12
SOLUTION:
Write the equation in standard form.
For this equation, a = 81, b = 0, and c = –9.
For this equation, a = –3, b = –8, and c = 12.
The solutions are –3.7 and 1.1.
The solutions are
.
28. AMUSEMENT PARKS The Demon Drop at
2
Cedar Point in Ohio takes riders to the top of a tower
24. 4x
= −16x − 16
and drops them vertically 60 feet. A function that
SOLUTION:
2
approximates this drop is h = −16t
+ 60, where h is
Write the equation in standard form.
the height in feet and t is the time in seconds. About
how many seconds does it take for riders to drop 60
feet?
SOLUTION:
For this equation, a = 4, b = 16, and c = 16.
2
−16t
+ 60 = 0
For this equation, a = –16, b = 0, and c = 60.
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