Finite Math Examples

Find the x and y Intercepts x^2+(y-3)^2=4
Step 1
Find the x-intercepts.
Tap for more steps...
Step 1.1
To find the x-intercept(s), substitute in for and solve for .
Step 1.2
Solve the equation.
Tap for more steps...
Step 1.2.1
Simplify .
Tap for more steps...
Step 1.2.1.1
Subtract from .
Step 1.2.1.2
Raise to the power of .
Step 1.2.2
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 1.2.2.1
Subtract from both sides of the equation.
Step 1.2.2.2
Subtract from .
Step 1.2.3
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 1.2.4
Simplify .
Tap for more steps...
Step 1.2.4.1
Rewrite as .
Step 1.2.4.2
Rewrite as .
Step 1.2.4.3
Rewrite as .
Step 1.2.5
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
Step 1.2.5.1
First, use the positive value of the to find the first solution.
Step 1.2.5.2
Next, use the negative value of the to find the second solution.
Step 1.2.5.3
The complete solution is the result of both the positive and negative portions of the solution.
Step 1.3
To find the x-intercept(s), substitute in for and solve for .
x-intercept(s):
x-intercept(s):
Step 2
Find the y-intercepts.
Tap for more steps...
Step 2.1
To find the y-intercept(s), substitute in for and solve for .
Step 2.2
Solve the equation.
Tap for more steps...
Step 2.2.1
Subtract from both sides of the equation.
Step 2.2.2
Raising to any positive power yields .
Step 2.2.3
Multiply by .
Step 2.2.4
Add and .
Step 2.2.5
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 2.2.6
Simplify .
Tap for more steps...
Step 2.2.6.1
Rewrite as .
Step 2.2.6.2
Pull terms out from under the radical, assuming positive real numbers.
Step 2.2.7
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
Step 2.2.7.1
First, use the positive value of the to find the first solution.
Step 2.2.7.2
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 2.2.7.2.1
Add to both sides of the equation.
Step 2.2.7.2.2
Add and .
Step 2.2.7.3
Next, use the negative value of the to find the second solution.
Step 2.2.7.4
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 2.2.7.4.1
Add to both sides of the equation.
Step 2.2.7.4.2
Add and .
Step 2.2.7.5
The complete solution is the result of both the positive and negative portions of the solution.
Step 2.3
y-intercept(s) in point form.
y-intercept(s):
y-intercept(s):
Step 3
List the intersections.
x-intercept(s):
y-intercept(s):
Step 4