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Mathematics 19 Online
OpenStudy (anonymous):

please help

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

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

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: \[\frac{ 7 \pm i \sqrt{3} }{ 2 }\]

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%

OpenStudy (anonymous):

not really a math question

OpenStudy (marissalovescats):

Probably about 20+ right

OpenStudy (anonymous):

hmm thats going to be impossible for me

OpenStudy (anonymous):

thanks for the help

OpenStudy (marissalovescats):

You're welcome

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