Solving Quadratic Equations Worksheet By Using The Quadratic Formula With Answers Page 5
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10For this equation, a = 4, b = 0, and c = 100.
The discriminant is 0.
9-5 Solving Quadratic Equations by Using the Quadratic Formula
The discriminant is negative, so the equation has no
Since the discriminant is 0, the equation has one real
real solutions, ø.
solution.
2
34. 12 − 12x = −3x
40.
SOLUTION:
SOLUTION:
Solve by factoring.
Write the equation in standard form.
Write the equation in standard form.
Factor.
For this equation, a = 2, b =
, and c =
.
The solution is 2.
State the value of the discriminant for each
equation. Then determine the number of real
The discriminant is 18.25.
solutions of the equation.
Since the discriminant is positive, the equation has
2
two real solutions.
36. 2x
− 5x + 20 = 0
SOLUTION:
2
42. TRAFFIC The equation d = 0.05v
+ 1.1v models
For this equation, a = 2, b = –5, and c = 20.
the distance d in feet it takes a car traveling at a
speed of v miles per hour to come to a complete
stop. If Hannah’s car stopped after 250 feet on a
highway with a speed limit of 65 miles per hour, was
she speeding? Explain your reasoning.
The discriminant is –135.
Since the discriminant is negative, the equation has
SOLUTION:
no real solutions.
Write the equation in standard form.
2
38. 0.5x
− 2x = −2
For this equation, a = 0.05, b = 1.1, and c = –250.
SOLUTION:
Write the equation in standard form.
For this equation, a = 0.5, b = –2, and c = 2.
The discriminant is 0.
Since the discriminant is 0, the equation has one real
solution.
40.
No, she was not speeding; Sample answer: Hannah
was traveling at about 61 mph, so she was not
SOLUTION:
speeding.
Write the equation in standard form.
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Page 5
Without graphing, determine the number of x-
intercepts of the graph of the related function
for each function.
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