You can put this solution on YOUR website! 2x^2 +5x +3 = 0
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divide both sides of = by 2
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x^2 +(5x/2) +(3/2) = 0
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subtract (3/2) from both sides of =
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x^2 +(5x/2) = (-3/2)
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divide (5/2) by 2 and square it, (25/16), add (25/16) to both sides of =
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x^2 +(5x/2) +(25/16) = (-3/2) + (25/16) = (1/16)
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(x +(5/4))^2 = (1/16)
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take square root of both sides of =
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x +(5/4) = + or - (1/4)
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We have two answers for x
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x = +(1/4) -(5/4) = -1
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x = -(1/4) -(5/4) = -1.5
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check the answers with
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2x^2 +5x +3 = 0
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1) x = -1
2(-1)^2 +5(-1) +3 = 0
2 -5 +3 = 0
0 = 0
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2) x = -1.5
2(-1.5)^2 +5(-1.5) +3 = 0
4.5 -7.5 +3 = 0
0 = 0
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our answers check
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