Find The Roots (Zeros) F(x)=x^4-x^5 | Mathway

Enter a problem... Precalculus Examples Popular Problems Precalculus Find the Roots (Zeros) f(x)=x^4-x^5 Step 1Set equal to .Step 2Solve for .Tap for more steps...Step 2.1Factor out of .Tap for more steps...Step 2.1.1Multiply by .Step 2.1.2Factor out of .Step 2.1.3Factor out of .Step 2.2If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .Step 2.3Set equal to and solve for .Tap for more steps...Step 2.3.1Set equal to .Step 2.3.2Solve for .Tap for more steps...Step 2.3.2.1Take the specified root of both sides of the equation to eliminate the exponent on the left side.Step 2.3.2.2Simplify .Tap for more steps...Step 2.3.2.2.1Rewrite as .Step 2.3.2.2.2Pull terms out from under the radical, assuming positive real numbers.Step 2.3.2.2.3Plus or minus is .Step 2.4Set equal to and solve for .Tap for more steps...Step 2.4.1Set equal to .Step 2.4.2Solve for .Tap for more steps...Step 2.4.2.1Subtract from both sides of the equation.Step 2.4.2.2Divide each term in by and simplify.Tap for more steps...Step 2.4.2.2.1Divide each term in by .Step 2.4.2.2.2Simplify the left side.Tap for more steps...Step 2.4.2.2.2.1Dividing two negative values results in a positive value.Step 2.4.2.2.2.2Divide by .Step 2.4.2.2.3Simplify the right side.Tap for more steps...Step 2.4.2.2.3.1Divide by .Step 2.5The final solution is all the values that make true.Step 3

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