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35 votes
35 votes
Write a quadratic equation in standard form with
(3)/(4) an -5 as its roots

User Asdfg
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1 Answer

19 votes
19 votes

Knowing the roots first write the equation in factored form:

(X - 3/4)(x +5) = 0

Now use the FOIL method ( multiply each term in one set of parentheses by each term the other set:

X•x + x•5 -3/4•x -3/4•5

Simplify:

X^2 + 5x -3/4x -3 3/4

Combine like terms:

X^2+ 4 1/4x - 3 3/4

User Shazwazza
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