Question

Practice1. Solve each equation.a. O = x2 – 7x – 18c. O = x2 - 10x + 12e. 3x2 – 22x + 7 = 02. Determine the roots of each equation. CIa. y = y2 + 9x + 3

Answer 1

Okay, here we have this:

We need to solve the following equation:

`0=x^2-10x+12`

We are going to solve using the general formula for equations of the second degree:

`\begin{gathered} x_(1,2)=\frac{-(-10)\pm\sqrt[]{(-10)^2-4\cdot1\cdot12}}{2\cdot1} \\ =\frac{10\pm\sqrt[]{100-48}}{2} \\ =\frac{10\pm\sqrt[]{52}}{2} \\ =\frac{10\pm2\sqrt[]{13}}{2} \\ =5\pm\sqrt[]{13} \end{gathered}`

Finally we obtain that the answers are:

x₁=5+√13

x₂=5-√13