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Mathematics 14 Online
OpenStudy (anonymous):

True or false will post equation bellow

OpenStudy (anonymous):

\[x(3-x)=10\] is it a linear equation.

OpenStudy (igreen):

Do you know what linear equations are?

OpenStudy (anonymous):

No

OpenStudy (igreen):

Linear equations have perfectly straight lines.

OpenStudy (anonymous):

I solved and got \[3x-x ^{2}=10\]

OpenStudy (igreen):

If we distribute 'x' into the parenthesis, we get: \(x(3 - x) = 10\) \(3x - x^2 = 10~\Large\color{lime} \checkmark\)

OpenStudy (igreen):

We can also write it as: \(x^2 - 3x = 10\)

OpenStudy (igreen):

Linear equations do not have 'x' as squared..if 'x' is squared it is a PARABOLA not a linear line..so what will our answer be?

OpenStudy (anonymous):

false

OpenStudy (igreen):

Yep, you got it.

OpenStudy (anonymous):

but can you tell me which kinda equation it is please?

OpenStudy (igreen):

It's a parabola.

OpenStudy (anonymous):

Oh

OpenStudy (igreen):

We can re-arrange it to: \(x^2 - 3x - 10\) (by subtracting 10 to both sides) And that is the standard form of a parabola..

OpenStudy (anonymous):

my classmate just told me it was a "quadratic equation" unless those are the same thing

OpenStudy (anonymous):

It is a quadratic equation but it is a parabola too

OpenStudy (anonymous):

oh ok thank you, both of you. I think i will be able to do this on my own.

OpenStudy (anonymous):

It makes a parabola shape

OpenStudy (igreen):

Yep, they are the same..quadratic equation.

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