Questions: Solve the equation for the positive value of x. x^2 + y^2 = 25, where y=4

Solution Steps

Given the equation:

\[ x^2 + y^2 = 25 \]

and the value \( y = 4 \), substitute \( y \) into the equation:

\[ x^2 + 4^2 = 25 \]

Calculate \( 4^2 \):

\[ x^2 + 16 = 25 \]

Subtract 16 from both sides:

\[ x^2 = 25 - 16 \]

\[ x^2 = 9 \]

Take the square root of both sides to solve for \( x \):

\[ x = \sqrt{9} \]

Since we are looking for the positive value of \( x \):

\[ x = 3 \]

Final Answer