Answer:
3 ± i sqrt( 7)
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4
Step-by-step explanation:
2x^2+2=3x
Subtract 3x from each side
2x^2 -3x+2=0
Using the quadratic formula
-b ± sqrt( b^2 -4ac)
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2a
a =2 b = -3 c =2
-(-3) ± sqrt( (-3)^2 -4*2*2)
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2*2
3 ± sqrt( 9 - 16)
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4
3 ± sqrt( -7)
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4
sqrt(-7) = sqrt(-1) sqrt(7) = i sqrt(7)
3 ± i sqrt( 7)
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4
