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Mathematics 15 Online
OpenStudy (anonymous):

i need work shown step by step can someone please help me??

OpenStudy (anonymous):

x^(2)+x=12

OpenStudy (anonymous):

how do you get rid of the ^2 . Do you remember from the Pythagorean Theorem?

OpenStudy (anonymous):

no

OpenStudy (alexwee123):

wait why the pythagoreon theorem??? @cocoa020

OpenStudy (alexwee123):

oh nm... ignore me :/

OpenStudy (anonymous):

you square root it \[\sqrt{x}\]

OpenStudy (anonymous):

i need the problem shown step by step

OpenStudy (anonymous):

because you found the square root of one side, you have to do it on the other

OpenStudy (anonymous):

We're doing it step by step: x^2+x=12 \[\sqrt{x}

OpenStudy (anonymous):

excuse me, square root of x square root of 12

OpenStudy (shane_b):

I'm really not sure where this is going... :)

OpenStudy (callisto):

I don't think this method works?! If you take square root on both sides, it becomes \[\sqrt{x^2+x} = \sqrt{12}\] Not easy to solve.

OpenStudy (alexwee123):

you could also just factor a problem like this instead of squaring the equation....

OpenStudy (callisto):

^^Indeed!, but first, rearrange some terms.

OpenStudy (alexwee123):

\[x ^{2}+x=12\]bring the 12 over to the other side by subtracting 12 on both sides\[x ^{2}+x-12=0\] now we need 2 numbers that have the product of -12 and the sum of 1

OpenStudy (callisto):

x^(2)+x=12 Subtract 12 from both sides. x^(2)+x-12=12-12 x^2 + x - 12 = 0 Factor the expression, x^2 +4x - 3x -12 = 0 x(x+4) - 3(x+4) = 0 (x-3)(x+4) = 0 Put each factor = 0 and solve them, that is x-3 = 0 or x+4 = 0

OpenStudy (alexwee123):

so we can get -3 and 4 so...\[(x+4)(x-3)=0\]

OpenStudy (alexwee123):

then when you solve it you would get the zeros as -4 and 3

OpenStudy (callisto):

^ Don't give answers, thanks!

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