8. Simplify k^2 - 10k + 6 = 0
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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8. Simplify $k^2 - 10k + 6 = 0$
This is a quadratic equation. To "simplify" an equation means to solve for the variable $k$. We will use the quadratic formula $k = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$.
For the equation $k^2 - 10k + 6 = 0$, we have $a=1$, $b=-10$, and $c=6$.
Step 1: Substitute the values of $a$, $b$, and $c$ into the quadratic formula.
$$k = \frac{-(-10) \pm \sqrt{(-10)^
