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Follow the process of completing the square to solve 2x2 + 8x - 12 = 0. How will the left side of the equation factor in step 5? A. (2x + 32)2 B. (4x + 8)2 C. (4x + 16)2
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Follow the process of completing the square to solve 2x2 + 8x - 12 = 0. How will the left side of the equation factor in step 5? A. (2x + 32)2 B. (4x + 8)2 C. (4x + 16)2
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Dec 10, 2018
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Follow the process of completing the square to solve 2x2 + 8x - 12 = 0. How will the left side of the equation factor in step 5?
A. (2x + 32)2
B. (4x + 8)2
C. (4x + 16)2
Mathematics
high-school
Jon Jaques
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Jon Jaques
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Complete the square to solve
.
Soooooooo,
is your answer. :)
SmacL
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Dec 12, 2018
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SmacL
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2x^2+8x-12=0
with form
ax^2+bx+c=0
move c to the other side
2x^2+8x=12
x^2 is multiplied -> divide equation by 2
x^2+4x=6
complete square:
divide b=4 by 2
4*1/2=2
square 2
2^2=4
add 4 to both sides
x^2+4x=6
x^2+4x+4=6+4
x^2+4x+4=10
transform to polynom
(x+2)^2=10
this left side is option B multiplied by a factor of 16 and therefore equal:
(4x + 8)^2
(4*4)x^2+(4*2*8)x+8*8
16x^2+64x+64
x^2+4+4
bonus: calculate root
x+2=+/-sqrt(10)
x=-2+/-sqrt(10)
so it is option B
Kyndigs
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Dec 14, 2018
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Kyndigs
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