Solve quadratic equation using the quadratic formula. 3x2−3x−4=0

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Answered question

2020-11-24

Solve quadratic equation using the quadratic formula.
$3{x}^{2}-3x-4=0$

Answer & Explanation

curwyrm

Skilled2020-11-25Added 87 answers

The standard quadratic equation is: $a{x}^{2}+bx+c=0$
Quadratic formula is: $x=\frac{-b\pm \sqrt{{b}^{2}-4ac}}{2a}$
Here, a=3, b=−3 and c=−4
So,
$x=\frac{-3(-3)\pm \sqrt{{(-3)}^{2}-4\times 3\times (-4)}}{2\times 3}$ $x=\frac{3\pm \sqrt{9+48}}{6}$ $x=\frac{3\pm \sqrt{57}}{6}$
Therefore, solutions are
$x=\frac{3+\sqrt{57}}{6}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}x=\frac{3-\sqrt{57}}{6}$