Question

Need some help pleaseSolve the next equation3x^2+x-6=0

Answer 1

We have the next equation

`3x^2+x-6=0`

In order to solve this equation, we will use the next formula

`x_(1,2)=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}`

where

a=3

b=1

c=-6

we substitute the values and reduce

`\begin{gathered} x_(1,2)=\frac{-1\pm\sqrt[]{1^2-4(3)(-6)}}{2(3)} \\ x_(1,2)=\frac{-1\pm\sqrt[]{73}}{6} \\ \end{gathered}`

if we have a second-degree equation we will have two solutions

first solution

`x_1=\frac{-1+\sqrt[]{73}}{6}=1.257`

the second solution is

`x_1=\frac{-1-\sqrt[]{73}}{6}=1.59`

the two solutions of the equation are

`x_1=1.257,_{}x_2=1.59`