x(3x+4)=5

ka1leE
2021-09-17
Answered

Solve the equation.

x(3x+4)=5

x(3x+4)=5

You can still ask an expert for help

Arnold Odonnell

Answered 2021-09-18
Author has **109** answers

Step 1

Solve the equation.

x(3x+4)=5

Step 2

We have x(3x+4)=5

$\Rightarrow x(3x+4)=5$

$\Rightarrow 3{x}^{2}+4x=5$

$\Rightarrow 3{x}^{2}+4x-5=0$

By applying Sridharacharya formula, we get

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

$\Rightarrow x=\frac{-4\pm \sqrt{{4}^{2}-4\times 3\times (-5)}}{2\times 3}$ , {since, a=3, b=4 and c=-5}

$\Rightarrow x=\frac{-4\pm \sqrt{76}}{6}$

$\Rightarrow x=\frac{-4\pm \sqrt{4\times 19}}{6}$

$\Rightarrow x=\frac{-4\pm 2\sqrt{19}}{6}$

$\Rightarrow x=\frac{-2\pm \sqrt{19}}{3}$

Hence,$x=\frac{-2+\sqrt{19}}{3}\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{or}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}x=\frac{-2-\sqrt{19}}{3}$

Solve the equation.

x(3x+4)=5

Step 2

We have x(3x+4)=5

By applying Sridharacharya formula, we get

Hence,

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