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Mathematics 15 Online
OpenStudy (anonymous):

Which equation is a quadratic equation?

OpenStudy (anonymous):

The one in the form of \[y = ax^2 + bx + c\] Where 'a' and 'b' are the respective coefficients

OpenStudy (anonymous):

Be careful, if the equation isn't in standard form you could have something like: y = x(x + 2) - 5 which is also a quadratic equation.

OpenStudy (shane_b):

That's the general form of it....but it's any second degree polynomial equation.

OpenStudy (anonymous):

these are the answers y + 3 = 5x + 10 y + 4x2 = (4x − 2)(x + 3) y − 8x = (x2 + 1)(9x − 7) y = 2x + 7x(x + 1)

OpenStudy (shane_b):

Looking at the above replies, which one(s) do you think it is?

OpenStudy (shane_b):

That is, which one can be placed in the form:\[\large y=ax^2+bx+c\]?

OpenStudy (anonymous):

the first one ?

OpenStudy (anonymous):

You have to combine all of the terms on one side together to see which one matches the form. Have you done that?

OpenStudy (shane_b):

The first one doesn't even have a squared term :)

OpenStudy (anonymous):

idk whcih one it is ?

OpenStudy (anonymous):

is it the second one ?

OpenStudy (shane_b):

The second one is: \[y + 4x^2 = (4x − 2)(x + 3) \]which simplifies to \[y=10x-6\]So that's not it...

OpenStudy (anonymous):

the last one ?

OpenStudy (shane_b):

You had a 50/50 chances and you got it right :) The last one can be simplified down to:\[y=7x^2+9x+0\]which is a quadratic equation in standard form.

OpenStudy (shane_b):

Do you understand how it was simplified to that?

OpenStudy (anonymous):

yess thankyouu

OpenStudy (shane_b):

ok, good luck!

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