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Mathematics 10 Online
silvernight269:

2(g^2+8g+16)=0

dude:

Distribute the 2 first

silvernight269:

I did

silvernight269:

Wait y The original equation is 2g^2+16g+32=0

dude:

oh, are you solving for g, right?

silvernight269:

Yea

dude:

since its all equal to 0 you can use the quadratic formula, do you know that?

silvernight269:

Uh...

dude:

\(\large\frac{-b\pm\sqrt{b^2-4ac}}{2a}\) is that equation familiar?

silvernight269:

Yes it is but I dunno if it would help

dude:

Its the best way to solve for it imo, or you could graph

silvernight269:

Ok...

dude:

I'll show you both ways just in case \(\large\frac{-b\pm\sqrt{b^2-4ac}}{2a}\); a=2, b=16, c=32 \(\large\frac{-(16)+\sqrt{(16)^2-4\cdot2\cdot32}}{2\cdot2}\)=\(\large\frac{-16+\sqrt{256-256}}{4}\)= \(\large\frac{-16+\color{red}{\sqrt{0}}}{4}\)=\(\frac{-16}{4}\)=-4 and \(\large\frac{-(16)-\sqrt{(16)^2-4\cdot2\cdot32}}{2\cdot2}\)=\(\large\frac{-16-\sqrt{256-256}}{4}\)=\(\large\frac{-16+\color{red}{\sqrt{0}}}{4}\)=\(\frac{-16}{4}\)=-4

dude:

F3dIa5qaQmS2eRyiL-H2dg.png Graph

silvernight269:

It shouldn’t be a parabola

dude:

\(2g^2+16g+32=0\) is in parabolic form o.O \(ax^2+bx+c\) = parabolic form

silvernight269:

I’m supposed to mind what numbers are x to equal 0

HanAkoSolo:

@dude well done my guy. And @silvernight269 quadratic formulas are for quadratic equations, which tend to form a parabola when they are graphed. Quadratic equations always have this base form, where a, b, and c are all numbers: \(ax^2 + bx+c=0\)

gabethebabe:

just factor my guy

silvernight269:

Oh ur right. Forgot🤦🏻♂️

gabethebabe:

g^2+8+16 is just (g+4)^2

gabethebabe:

8g*

HanAkoSolo:

@silvernight269 let us know if you have more questions about the process :) dude did an excellent job guiding you here.

silvernight269:

Ok

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