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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
[tex]a\text{ = }\sqrt[]{-2\cdot x^{2}}\text{ = x }\sqrt[]{-2}[/tex][tex]a\text{ = }\sqrt[]{2}i[/tex]2ab = 18x
[tex]2(x\sqrt[\text{ }]{-2)}\cdot\text{ b = 18 x}[/tex][tex]b\text{ = }\frac{18x}{2x\sqrt[]{-2}}=\frac{9}{\sqrt[]{-2}}=\frac{9}{\sqrt[]{2\text{ }}i}[/tex]Two ways to express the solution:
[tex]\begin{gathered} -2x^{2\text{ }}+\text{ 18x + 9/}\sqrt[]{-2} \\ -2x^2+18x\text{ + 9 / }\sqrt[]{2}i \end{gathered}[/tex]