Question 57155
If x = 3 and x = -5, then form a quadratic equation.
FOIL (x-3)(x+5) = x^2 + 2x -15 = 0
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2. What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. 
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The equation has two complex number solutions. The Discriminant is part of the quadratic formula, so you end up with the square root of a neg number.
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Also provide an example of such a quadratic equation and find the solution of the equation.
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2x^2 - x + 5 = 0
Using the quadratic formula your solutions are:
x = {{{(1-i*SqRt(39))/4}}} and {{{(1+i*SqRt(39))/4}}}
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3. Create a real-life situation that fits into the equation (x + 3)(x - 4) = 0 and express the situation as the same equation:
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The  area of a rectangle is 12 sq ft; where the width is 1 ft shorter than the
 width: W  = (L - 1)
Area = L * (L-1) = 12
L^2 - L - 12 = 0
(L + 3)(L - 4) = 0
        L = +4