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Mathematics 10 Online
OpenStudy (anonymous):

Solve: 27x^2-7x=0

OpenStudy (anonymous):

just factor it and solve for x

OpenStudy (anonymous):

(3n+1)(9n-7) ??

OpenStudy (unklerhaukus):

\[\boxed{ax^2+bx+c=0}\rightarrow\large{{x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}}}\]

OpenStudy (anonymous):

Huh?

OpenStudy (anonymous):

thats the quadratic equation, also another method of solving for the roots you factored it incorrectly now looking at the expression 27x^2-7x we look for any common variables or multiplies that they share notice they both have x in it, so we can factor it out using the distributive property this now gives us x(27x-7) can you solve the problem now?

OpenStudy (anonymous):

20x

OpenStudy (anonymous):

minus7 from both sides?

OpenStudy (anonymous):

no.... the equation after you factor the left side would be x*(27x-7)=0 now in order to get zero through multiplication, that means one of the multiplies needs to be zero this means either x= 0 or 27x-7=0 now solve for x

OpenStudy (anonymous):

if x=0 then 27x^2 - 7x= 0

OpenStudy (anonymous):

no... there are 2 different answers for x

OpenStudy (anonymous):

x is 0 and x is ___ looks like a negative number?

OpenStudy (anonymous):

no its positive SOLVE FOR X 27x-7=0

OpenStudy (anonymous):

27x=7 then divide both sides by 7 right?

OpenStudy (anonymous):

27...

OpenStudy (anonymous):

oops

OpenStudy (anonymous):

7/27

OpenStudy (anonymous):

YES.. x= 0 AND x=7/27

OpenStudy (anonymous):

Phew....Thank you!

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