Algebra
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OpenStudy (anonymous):
Use the quadratic formula to solve the equation.
x^2-2x= 99
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OpenStudy (anonymous):
@satellite73
OpenStudy (anonymous):
You still there for me to answer?
OpenStudy (anonymous):
Yes
OpenStudy (anonymous):
Ok. So you will get x^2 - 2x - 99 = 0
OpenStudy (anonymous):
\[x^2-2x= 99 \\
(x-1)^2=99+1=100\\
x-1=10,x-1=-10\\
x=11,x=-9\]
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OpenStudy (anonymous):
@satellite73 That is not solving using the quadratic formula.
OpenStudy (anonymous):
It has to be quadratic formula.
OpenStudy (anonymous):
You use the coefficient of X^2 - 2x - 99 = 0 in order to find the coefficients and thus determine a, b and c.
OpenStudy (anonymous):
So, a = 1, b = -2 and c = -99
OpenStudy (anonymous):
A= 1 B= -2 C= -99
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OpenStudy (anonymous):
I get 20 as the discriminant
OpenStudy (anonymous):
\[(-b \pm \sqrt{b ^{2}-4ac})\div2a\]
OpenStudy (anonymous):
So you plug the numbers given above into the quadratic formula to come up with 2 solutions.
OpenStudy (anonymous):
I don't get 11 and -9
OpenStudy (anonymous):
Don't think that is what you're meant to get. I'll try it.
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OpenStudy (anonymous):
The answer is -9 and 11. I just don't know how to get it.
OpenStudy (anonymous):
Is it possible that this includes an imaginary number?
OpenStudy (anonymous):
Oh no never mind.
OpenStudy (anonymous):
Yes I got the correct result using the quadratic formula.
OpenStudy (anonymous):
Don't forget that subtracting a negative makes it a positive.
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OpenStudy (anonymous):
Can you show me :x
OpenStudy (anonymous):
\[\frac{ 2\pm \sqrt{4-(4-99)} }{ 2 }\]
OpenStudy (anonymous):
\[\frac{ 2\pm \sqrt{400} }{ 2 }\]
OpenStudy (anonymous):
\[\frac{ 2\pm20 }{ 2 }\]
OpenStudy (anonymous):
\[1\pm10\]
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OpenStudy (anonymous):
So 1 + 10 = 11 and 1 - 10 = -9.
OpenStudy (anonymous):
I'm confused on how you got 4-(4-99)
OpenStudy (anonymous):
Sorry. That was meant to be 4*-99. And the 4 you get by doing b^2, so -2^2.