SOLUTION: Use the quadratic formula to solve the equation: 3x^2-38x=101 a) 19+[664]/3 b) -19+[664] c) 19-[58]/3 d) 19+[664]/6 e) 19+[58]/3 f) 19-[664]/3 Hint: the [] stands for

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Question 184397: Use the quadratic formula to solve the equation:
3x^2-38x=101
a) 19+[664]/3
b) -19+[664]
c) 19-[58]/3
d) 19+[664]/6
e) 19+[58]/3
f) 19-[664]/3
Hint: the [] stands for square root signal. And there is a chance it may be more than one answer!

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!

In the first place, there is more than a chance that there will be two answers. There is an absolute iron-clad money-back take-it-to-the-bank guarantee that there are two answers. That is because ALL quadratic polynomials have two factors, be they real or complex. The Fundamental Theorem of Algebra tells me so. Sometimes you will have a perfect square trinomial and the factors will be the same, but there are still two factors and therefore two roots to the equation. No guarantee they will both be in your list of answers though.

The first thing to do is put your equation into standard form:




Quadratic Formula:



Your coefficients are:



So:




Which gets you to two of the listed answers.

By the way, those answers are not reduced to simplest terms.



So the answers should be:



John
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