Question

Find a comples solution of 2x^2+x+6=0 (if there is more than ine solution separate them with commas)

Answer 1

x = -1/4 + sqrt(47)/4 i , -1/4 - sqrt(47)/4 i

Explanation:

2x^2+x+6=0

using the quadratic formula

-b ±sqrt(b^2 -4ac)

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2a

-1 ±sqrt(1 -4(2)(6))

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2(2)

-1 ±sqrt( 1 - 48)

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4

-1 ± sqrt(-47)

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4

-1 ± sqrt(-1) sqrt(47)

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4

remember sqrt(-1) = i

-1 ± i sqrt(47)

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4

x = -1/4 + sqrt(47)/4 i , -1/4 - sqrt(47)/4 i