Find the x and y Intercepts y^2=6-x

Problem

y2=6−x

Solution

1. Find the y-intercept by setting x=0 in the equation.

y2=6−0

y2=6

2. Solve for y by taking the square root of both sides.

y=±√(,6)

3. Find the x-intercept by setting y=0 in the equation.

0=6−x

0=6−x

4. Solve for x by isolating the variable.

x=6

Final Answer

x-intercept: *(6,0), y-intercepts: *(0,√(,6)),(0,−√(,6))

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