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vivado [14]
3 years ago
10

Use the quadratic formula to determine the exact solutions to the equation 6x^2 + 4x - 3 = 0

Mathematics
1 answer:
mezya [45]3 years ago
5 0
To solve quadratics, the most correct and effective way, in my opinion, is the quadratic formula:

{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}.}<span><span>

Plugging it in, we get:

</span></span>\frac{-4\pm \sqrt{16+72} }{12}  =  \frac{-4\pm 2\sqrt{22}}{12} =  \frac{-2\pm \sqrt{22} }{6}

So the final answer is:

\frac{ \sqrt{22}-2 }{6} and \frac{-2- \sqrt{22} }{6}
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