You can
put this solution on YOUR website!Hi, Hope I can help,
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If you are wanting us to solve this quadratic equation, here is how you do it.
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The easiest way you can solve this is by factoring, in this case we can
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First we need to write the "y"'s in parentheses
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It is only "y" squared so there will be two "y"'s
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( y )(y )
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Next, we need to find the rest of the factors of this quadratic
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If the factors of the third term, in this case "9", add up to the middle term( in this case (-6)), it can be factored
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factors of "9" added together
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(9) + (1) = 10
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(-9) + (-1) = (-10)
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(3) + (3) = 6
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(-3) + (-3) = (-6)
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The last pair of factors add up to the middle term
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Now we will put the factors in the parentheses with the "y"'s
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( y )(y ) = (y - 3 )(y - 3 )
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This is the factored quadratic
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( y - 3 )(y - 3 ) = 0, you can check by using the FOIL method ( First, Inner, Outer, Last )
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= (F)
= (O)
= (I)
= (L)
, Remember the negative signs on the "3's"
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, combine the like terms,
(forget about the multiplication sign, it is just being weird) =
( True )
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now we take each of the factors and have them equal "0", then solve for "y"
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First factor = ( y - 3 )
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, removing the parentheses
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, moving (-3) to the right side
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=
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, the other factor is the same, so we would get the same answer.
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your answer is
, you can check by replacing "y" with "3" in the original equation
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=
=
=
=
( True )
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You can also use the quadratic formula, for every quadratic equation, make sure your equation is in the form
( in this case "y" ) it is
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a = 1
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b = -6
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c = 9
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=
=
=
=
=
=
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Your answer is
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Hope I helped, Levi
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