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harkovskaia [24]
3 years ago
8

Factor 3x^2-20x-7.

Mathematics
1 answer:
cestrela7 [59]3 years ago
3 0

Hi,

Without discriminant:

3x^2-20x-7\\\\ =3(x^2-\dfrac{2*10}{3} )-7\\\\ =3(x^2-\dfrac{2*10}{3}+\dfrac{100}{9} )-\dfrac{100}{3}-7\\\\ =3(x-\dfrac{10}{3})^2-\dfrac{121}{3}\\\\ =\sqrt{3}[(x-\dfrac{10}{3})+\dfrac{11}{3}]*\sqrt{3}[(x-\dfrac{10}{3})-\dfrac{11}{3}]\\\\ =3(x+\frac{1}{3})(x-\dfrac{21}{3})\\\\ =(3x+1)(x-7)

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So if you start with 9x - 7y = -7, the first thing you need to do is move the 9x to the other side of the equation by subtracting it from both sides.
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       -9x          -9x

Now you have -7y = -9x -7

For the equation to be in slope intercept form now you should divide every term by the number in front of your y.  In this case divide every term by -7
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3 years ago
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