Question

Solve: 2x(x^2 + 5x - 4)

Answer 1

The given expression is-

`2x(x^2+5x-4)`

We have to find three solutions for this expression. First, we use the zero property to find the first solution.

`\begin{gathered} 2x(x^2+5x-4)=0 \\ 2x=0 \\ x^2+5x-4=0 \end{gathered}`

Where,

`x_1=0`

Now, we solve the quadratic equation to find the other two solutions.-

`x^2+5x-4=0\rightarrow(x+a)(x-b)=0`

We have to find the two solutions using the quadratic formula-

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

Where a=1, b=5, and c=-4.

Using the given information, we have