True or false will post equation bellow
\[x(3-x)=10\] is it a linear equation.
Do you know what linear equations are?
No
Linear equations have perfectly straight lines.
I solved and got \[3x-x ^{2}=10\]
If we distribute 'x' into the parenthesis, we get: \(x(3 - x) = 10\) \(3x - x^2 = 10~\Large\color{lime} \checkmark\)
We can also write it as: \(x^2 - 3x = 10\)
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?
false
Yep, you got it.
but can you tell me which kinda equation it is please?
It's a parabola.
Oh
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..
my classmate just told me it was a "quadratic equation" unless those are the same thing
It is a quadratic equation but it is a parabola too
oh ok thank you, both of you. I think i will be able to do this on my own.
It makes a parabola shape
Yep, they are the same..quadratic equation.
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