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Ne4ueva [31]
4 years ago
15

Solve the equation using the method of completing the square 2x squared + 16 x - 8 0

Mathematics
1 answer:
Norma-Jean [14]4 years ago
4 0

Answer:

-4 <u>+</u> 2*sqrt(5)

Step-by-step explanation:

2x^2+16x-8=0

Factor out the 2: 2(x^2+8x)-8=0

Add (b/2)^2 = (8/2)^2 = 16

2(x^2+8x+16)-8 = 0 + 2*16

2(x+4)^2=40

(x+4)^2=20

x+4=<u>+</u>sqrt(20)

x=-4<u>+</u>sqrt(20) = -4 <u>+</u> 2*sqrt(5)

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