Question

SOLVE PLEASE -2x^2+18x+____

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

- 2x² + 18x + _________

Step 02:

(a + b) = a² + 2ab + b²

a² = -2x²

`a\text{ = }\sqrt[]{-2\cdot x^(2)}\text{ = x }\sqrt[]{-2}`

`a\text{ = }\sqrt[]{2}i`

2ab = 18x

`2(x\sqrt[\text{ }]{-2)}\cdot\text{ b = 18 x}`
`b\text{ = }\frac{18x}{2x\sqrt[]{-2}}=\frac{9}{\sqrt[]{-2}}=\frac{9}{\sqrt[]{2\text{ }}i}`

Two ways to express the solution:

`\begin{gathered} -2x^{2\text{ }}+\text{ 18x + 9/}\sqrt[]{-2} \\ -2x^2+18x\text{ + 9 / }\sqrt[]{2}i \end{gathered}`