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Mathematics 17 Online
OpenStudy (anonymous):

how do you find the maximum or minimum -8x^2-16x+6

OpenStudy (anonymous):

DO you need to use Calculus here?

OpenStudy (anonymous):

because there are 2 ways to solve this.

OpenStudy (anonymous):

-7x^2-14x+3 this is the question I meant to put

OpenStudy (anonymous):

Again, there are two ways to do this. We can either use the nature of the quadratic or use derivatives. Which way do you want to do?

OpenStudy (anonymous):

quadratic

OpenStudy (anonymous):

Have you learnt Calculus?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

@Dido525 how are u?

OpenStudy (anonymous):

Lets use Calculus then :P Much quicker. Can you take the derivative of that?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

Negative leading coefficient, parabola opens down. It has a maximum but no minimum. To find the x coordinate of the vertex (maximum) use -b/2a To find the y coordinate of the vertex, plug the x you just solved for back into the original equation.

OpenStudy (anonymous):

I already know the vertex

OpenStudy (anonymous):

Max, no min |dw:1392609469398:dw|

OpenStudy (anonymous):

the max isn't -1,10 I typed it and it marks it wrong

OpenStudy (anonymous):

Alright.

OpenStudy (anonymous):

Find the zeros of that quadratic.

OpenStudy (anonymous):

Can you do that?

OpenStudy (anonymous):

i get decimals

OpenStudy (anonymous):

That's okay.

OpenStudy (anonymous):

The maximum occurs halfway between those points.

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