Question

Solving equation?

`6x^2+x= 40`

Thank guys!

Answer 1

`2` real solutions:

`x=2.5\quad,\quad x=-2.\overline{6}`

Explanation:

Let’s first rearrange the equation:

`6x^2+x-40=0`

It’s a quadratic equation, which we can use the quadratic equation to solve.

Since the equation is in standard form, let’s define the variables:

• `a=6`
• `b=1`
• `c=-40`

We can now plug those values into the quadratic formula:

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

`\implies x=\frac{-1\pm\sqrt{(1)^2-4(6)(-40)}}{2(6)}`

`\implies x=\frac{-1\pm\sqrt{1+960}}{12}`

`\implies x=\frac{-1\pm 31}{12}`

`\implies x=2.5\quad,\quad x=-2.\overline{6}`