ACTIVITY 7: Solving quadratic equation using quadratic formula. Find the roots of the following quadratic equation using quadratic formula. Show your complete solution.
1. x2 -5x - 14 = 0
Standard form: a=__b=__,c=__
Quadratic Formula solution:
2. x² + 16 = 8x
Standard form: a=__b=__,c=__
Quadratic Formula solution:
3. 2x²+ 3x - 20 =0
Standard form: a=__b=__,c=__
Quadratic Formula solution:
4. 2x²-7x-3=0
Standard form: a=__b=__,c=__
Quadratic Formula solution:
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Answers & Comments
Answer:
1. standard form: a=1 b=5 c=14
solution:
______
x=-b ± √ b²-4ac
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2a
___
×= 5±√ 81
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2
Answer: x=7 or x=2
2. standard form: a=1 b=8 c=16
solution:
subtract 8x from both sides
x²+16-8x=8x-8x
x²-8x+16=0
________
×=-b±√ b²-4ac
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2a
x=-(-8)²-4(1)(16)
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2(1)
__
x=8±√0
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2
x=4