SOLUTION: A quadratic equation has two roots: 3/4 and -5. Find a quadratic equation where the coefficient of the x^2 term is 1 and find a second equation that has only integers as coefficien

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Question 704910: A quadratic equation has two roots: 3/4 and -5. Find a quadratic equation where the coefficient of the x^2 term is 1 and find a second equation that has only integers as coefficients.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A quadratic equation has two roots: 3/4 and -5. Find a quadratic equation where the coefficient of the x^2 term is 1 and find a second equation that has only integers as coefficients.
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(x-3/4)(x+5)=0
expand
x^2-3x/4+5x-15/4=0
x^2+17x/4-15/4=0 (coefficient of x^2=1)
multiply by LCD:4
4x^2+17x-15=0 (coefficients are all integers)