Solving Quadratic Equations Worksheet By Using The Quadratic Formula With Answers
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109-5 Solving Quadratic Equations by Using the Quadratic Formula
The solutions are 2.3 and –5.3.
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Solve each equation by using the Quadratic
6. 5x
+ 5 = −13x
Formula. Round to the nearest tenth if
SOLUTION:
necessary.
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Write the equation in standard form.
2. x
− 10x + 16 = 0
SOLUTION:
For this equation, a = 1, b = –10, and c = 16.
For this equation, a = 5, b = 13, and c = 5.
The solutions are 8 and 2.
The solutions are –0.5 and –2.1.
Solve each equation. State which method you
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4. x
+ 3x = 12
used.
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8. 2x
− 3x − 6 = 0
SOLUTION:
Write the equation in standard form.
SOLUTION:
Solve using the quadratic formula.
For this equation, a = 2, b = –3, and c = –6.
Quadratic Formula:
For this equation, a = 1, b = 3, and c = –12.
The solutions are 2.3 and –5.3.
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6. 5x
+ 5 = −13x
SOLUTION:
The solutions are 2.6 and –1.1.
Write the equation in standard form.
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10. x
− 9x = −19
For this equation, a = 5, b = 13, and c = 5.
SOLUTION:
Solve by using the quadratic formula.
Write the equation in standard form.
For this equation, a = 1, b = –9, and c = 19.
Quadratic Formula:
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The solutions are –0.5 and –2.1.
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