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OpenStudy (anonymous):
Solve x2 - 7x = -13
OpenStudy (marissalovescats):
First add 13 to each side to get
x^2-7x+13
And to solve for 0 you will have to use the quadratic formula
OpenStudy (anonymous):
idk how to do that
OpenStudy (marissalovescats):
Okay so the quadratic formula is: \[\frac{ -b \pm \sqrt{b^2-4ac} }{ 2a }\]
OpenStudy (marissalovescats):
And you have a quadratic equation in standard form:
a^2+bx+c
You have:
x^2-7x+13 so:
a=1
b=-7
c=13
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OpenStudy (anonymous):
ohh
OpenStudy (marissalovescats):
Yeah so you plug in the corresponding numbers and solve: \[\frac{ 7 \pm \sqrt{-7^2-4(1)(13)} }{ 2(1) }\]
OpenStudy (anonymous):
howd you get -4
OpenStudy (marissalovescats):
That's just a part of the quadratic formula
OpenStudy (marissalovescats):
The -4ac part
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OpenStudy (anonymous):
oh my bad
OpenStudy (marissalovescats):
-4*1*13 is -52
-7^2 is 49 so now we have: \[\frac{ 7 \pm \sqrt{49-52} }{ 2 }\]
OpenStudy (anonymous):
is that it?
OpenStudy (anonymous):
in all of the answers there is an i
OpenStudy (marissalovescats):
Not yet
So now we have: \[\frac{ 7 \pm \sqrt{-3} }{ 2 }\]
And we cant take the square root of a negative number. If you recall, i^2=-1.
So we'll have: \[\sqrt{3*i^2}\] which would be -3 and the square root of i^2 is just i so now we're left with the answer of: \[\frac{ 7 \pm i \sqrt{3} }{ 2 }\]
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OpenStudy (anonymous):
thanks
OpenStudy (marissalovescats):
You're welcome
OpenStudy (anonymous):
can you help me with something else
OpenStudy (marissalovescats):
Yeah sure if I can
OpenStudy (anonymous):
ive got a final coming up this week thats worth 275(20%) ...it has 36 multiple choice and 4 free response.. i have to get a 60% on the final or i dont get credit for the class. how many questions do you think i would have to get right to get a 60%
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