Which of the following is a solution of x2 - 10x = -36?
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OpenStudy (solomonzelman):
add 36 to both sides, and factor.
OpenStudy (anonymous):
Set it equal to 0 (as a quadratic), factor, and see what your zeros/solutions are.
OpenStudy (anonymous):
so it would be x2-10x=36+0?
OpenStudy (anonymous):
\[x ^{2}-10x = -36\rightarrow x ^{2}-10x+36=0\]
OpenStudy (anonymous):
Factor:
\[x ^{2}-10x+36\]
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OpenStudy (anonymous):
6 and 4
OpenStudy (anonymous):
but those arent the answer choices
OpenStudy (anonymous):
they have to deal with i's
OpenStudy (anonymous):
Which of the following is a solution of x2 - 10x = -36?
negative 5 minus i sqare root of 61
5 plus i square root of 61
negative 5 minus i square root of 11
5 plus i square root of 11
OpenStudy (anonymous):
No wait
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OpenStudy (anonymous):
^ are the answer choices
OpenStudy (anonymous):
Yes, because x^2-10x+36 has no real roots
OpenStudy (anonymous):
exactly
OpenStudy (anonymous):
So, we must use the quadratic formula.
OpenStudy (anonymous):
Expect the discriminant to be (-)
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OpenStudy (anonymous):
oh what joy im horrible at the quadratic formula
OpenStudy (anonymous):
Well in the form x^2-10x+36
We know a, b, and c
You know the QF right?
I'm not perfect with it either hehe
OpenStudy (anonymous):
yes i do
OpenStudy (anonymous):
Would you like me to check your work as you go through it?
OpenStudy (anonymous):
sure :)
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OpenStudy (anonymous):
Alrighty =)
OpenStudy (anonymous):
Here, I'll set it up for you.|dw:1405889827078:dw|