The equation you've given, \( K(8) = \sqrt{x} + 5 \), suggests a function \( K(x) \) where you are likely solving for the unknown variable \( x \), given \( K(8) \).

To solve this equation:

\[
K(8) = \sqrt{x} + 5
\]
Assuming you have a specific value for \( K(8) \), we can substitute that value into the equation and solve for \( x \). However, since you haven’t provided a specific value for \( K(8) \), I will solve the equation symbolically.

Let's assume \( K(8) = y \), where \( y \) is the value of the function when \( x = 8 \). The equation becomes:

\[
y = \sqrt{x} + 5
\]

To solve for \( x \), follow these steps:

1. Subtract 5 from both sides:
   \[
   y - 5 = \sqrt{x}
   \]

2. Square both sides to eliminate the square root:
   \[
   (y - 5)^2 = x
   \]

Thus, the solution is:

\[
x = (y - 5)^2
\]

If you provide a specific value for \( K(8) \), we can compute the exact value of \( x \).

Would you like more details or clarification? Here are some related questions:

1. What value of \( K(8) \) are you working with?
2. Would you like to discuss solving square root equations in more depth?
3. How does this function \( K(x) \) relate to the problem you are solving?
4. Do you need help graphing square root functions?
5. Would you like examples of real-world applications of square root equations?

**Tip:** Always isolate the square root before squaring both sides to solve the equation efficiently.

Discover how to solve the square root equation K(8) = √x + 5 with step-by-step instructions. Learn about isolating square roots and squaring both sides to find the value of x, suitable for Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation