anonymous
  • anonymous
Solve the Quadratic: 3x^2+10x-8=0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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SolomonZelman
  • SolomonZelman
\(\large\color{black}{ {\rm Discriminant}=\sqrt{b^2-4(a)(c)} \\[1.2em]=\sqrt{10^2-4(3)(-8)}=\sqrt{100-(-96)} =\sqrt{196}=14}\)
anonymous
  • anonymous
Dont you have to divide it by 2a?
SolomonZelman
  • SolomonZelman
You can either solve your equation using the *quadratic formula* (I have calculated the discriminant for you) OR, you can factor, because the discriminant is an integer and thus your quadratic can be factored.

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anonymous
  • anonymous
I tried factoring but I got confused
SolomonZelman
  • SolomonZelman
*QUADRATIC FORMULA* \(\normalsize\color{ slate }{\Huge{\bbox[5pt, lightcyan ,border:2px solid black ]{ \LARGE{x=~} \huge{ \frac{-\color{magenta}{b} \pm\sqrt{ \color{magenta}{b} ^2-4 \color{blue}{a} \color{red}{c}}}{2 \color{blue}{a}} }~ }}}\) when the equation is \(\LARGE\color{black}{ \color{blue}{a} x^2+ \color{magenta}{b}x+ \color{red}{c}=0 }\)
anonymous
  • anonymous
Could you help me with factoring?
SolomonZelman
  • SolomonZelman
you already know that: \(\large \displaystyle x=\frac{-\color{magenta}{10} \pm14}{2 \color{blue}{(3)}}\)
SolomonZelman
  • SolomonZelman
14 is the value of that entire root, which I calculated in the beginning, and you know that in your case, *a=3* and *b=10*
anonymous
  • anonymous
so is there two answers?Because +- 14
SolomonZelman
  • SolomonZelman
yes, and they are simplifiable.
SolomonZelman
  • SolomonZelman
you can do the rest....
anonymous
  • anonymous
2/3 and -4?
SolomonZelman
  • SolomonZelman
yes, right
anonymous
  • anonymous
thanks

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