Find The Roots (Zeros) P(x)=x^5-9x^3 | Mathway
Enter a problem... Algebra Examples Popular Problems Algebra Find the Roots (Zeros) p(x)=x^5-9x^3 Step 1Set equal to .Step 2Solve for .Tap for more steps...Step 2.1Factor the left side of the equation.Tap for more steps...Step 2.1.1Factor out of .Tap for more steps...Step 2.1.1.1Factor out of .Step 2.1.1.2Factor out of .Step 2.1.1.3Factor out of .Step 2.1.2Rewrite as .Step 2.1.3Factor.Tap for more steps...Step 2.1.3.1Since both terms are perfect squares, factor using the difference of squares formula, where and .Step 2.1.3.2Remove unnecessary parentheses.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 real numbers.Step 2.4Set equal to and solve for .Tap for more steps...Step 2.4.1Set equal to .Step 2.4.2Subtract from both sides of the equation.Step 2.5Set equal to and solve for .Tap for more steps...Step 2.5.1Set equal to .Step 2.5.2Add to both sides of the equation.Step 2.6The final solution is all the values that make true.Step 3
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