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Algebra 16 Online
OpenStudy (anonymous):

Use the quadratic formula to determine the solutions for the function y = 3x2 + 6x – 144.

OpenStudy (mertsj):

Divide through by 3 first of all to keep the numbers smaller. Then a = 1, b = 2 and c = -48 Plug into the quadratic formula which is:

OpenStudy (mertsj):

\[x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}\]

OpenStudy (anonymous):

how you get that

OpenStudy (mertsj):

@amberk123 That is a formula that was developed to find solutions of equations of this form: \[ax^2+bx+c=0\]

OpenStudy (mertsj):

Your equation is in that form so you just need to identify a, b, and c and plug into that formula.

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

okay

OpenStudy (mertsj):

Divide through by 3 first of all to keep the numbers smaller. Then a = 1, b = 2 and c = -48

OpenStudy (mertsj):

\[x=\frac{-1\pm \sqrt{2^2-4(1)(-48)}}{2(1)}\]

OpenStudy (anonymous):

\[x=\frac{ -6 \pm \sqrt{6^{2}-4(3)(144)}}{ 2(3) }\]

OpenStudy (mertsj):

\[x=\frac{-1\pm \sqrt{4+192}}{2}=\frac{-1\pm \sqrt{196}}{2}\]

OpenStudy (mertsj):

\[x=\frac{-1\pm14}{2}\]

OpenStudy (mertsj):

\[x=\frac{-1+14}{2}=\frac{13}{2}\]

OpenStudy (mertsj):

\[x=\frac{-1-14}{2}=\frac{-15}{2}\]

OpenStudy (anonymous):

up one is 6.5

OpenStudy (anonymous):

@Mertsj the other one is -7.5

OpenStudy (mertsj):

yes, they are right. Didn't you see the answers I posted?

OpenStudy (mertsj):

13 divided by 2 is 6.5 -15 divided by 2 is - 7.5

OpenStudy (anonymous):

no i didnt sorry

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