Find the Quadratic Equation -1/2 , 3/4

Math
,
and are the two real distinct solutions for the quadratic equation, which means that and are the factors of the quadratic equation.
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by .
Combine and .
Move to the left of .
Combine and .
Multiply .
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Multiply and .
Multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Add and .
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Reorder and .
Add and .
Move the negative in front of the fraction.
The standard quadratic equation using the given set of solutions is .
Find the Quadratic Equation -1/2 , 3/4

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