Linear Algebra Examples

Find the Domain mx^2+kx+m=0
Step 1
Subtract from both sides of the equation.
Step 2
Factor out of .
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Step 2.1
Factor out of .
Step 2.2
Raise to the power of .
Step 2.3
Factor out of .
Step 2.4
Factor out of .
Step 3
Divide each term in by and simplify.
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Step 3.1
Divide each term in by .
Step 3.2
Simplify the left side.
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Step 3.2.1
Cancel the common factor of .
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Step 3.2.1.1
Cancel the common factor.
Step 3.2.1.2
Divide by .
Step 3.3
Simplify the right side.
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Step 3.3.1
Move the negative in front of the fraction.
Step 4
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
Set-Builder Notation: