$\displaystyle \bf \\
x_1+x_2=6\\\\
x_1\cdot x_2=15\\\\
\Longrightarrow~~x^2-6x+15=0\\\\
x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{6\pm\sqrt{36-60}}{2}=\\\\
=\frac{6\pm\sqrt{-24}}{2}=\frac{6\pm2\sqrt{-6} }{2}=3\pm i\sqrt{6}\\\\
x_1=\boxed{3-i\sqrt{6}}\\\\
x_2=\boxed{3+i\sqrt{6}}\\\\
\texttt{Verify:}\\\\
x_1+x_2=3-\underline{i\sqrt{6}}+3+\underline{i\sqrt{6}}=3+3=6~~correct\\\\
x_1\cdot x_2=(3-i\sqrt{6})(3+i\sqrt{6})=3^2-(i\sqrt{6})^2=9+6=15~~correct$

4 0

3 years ago

Each student in a classroom has chosen either a green, red, or blue marble and written their initials on it. In addition, some o

Crazy boy [7]

Answer:

a: 40 percent

b: 30 percent

i think

Step-by-step explanation:

6 0

2 years ago

Write the mixed number as an improper fraction.<br> 3 3/5

Westkost [7]

Answer:

3 3/5 as an improper fraction = 18/5

6 0

3 years ago

Read 2 more answers

3.6 divided by 1.2 using decimal grids.​

3.6 divided by 1.2 using decimal grids.