Find The Roots (Zeros) X^4-5x^2-36=0 - Mathway
Enter a problem... Algebra Examples Popular Problems Algebra Find the Roots (Zeros) x^4-5x^2-36=0 Step 1Substitute into the equation. This will make the quadratic formula easy to use.Step 2Factor using the AC method.Tap for more steps...Step 2.1Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .Step 2.2Write the factored form using these integers.Step 3If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .Step 4Set equal to and solve for .Tap for more steps...Step 4.1Set equal to .Step 4.2Add to both sides of the equation.Step 5Set equal to and solve for .Tap for more steps...Step 5.1Set equal to .Step 5.2Subtract from both sides of the equation.Step 6The final solution is all the values that make true.Step 7Substitute the real value of back into the solved equation.Step 8Solve the first equation for .Step 9Solve the equation for .Tap for more steps...Step 9.1Take the specified root of both sides of the equation to eliminate the exponent on the left side.Step 9.2Simplify .Tap for more steps...Step 9.2.1Rewrite as .Step 9.2.2Pull terms out from under the radical, assuming positive real numbers.Step 9.3The complete solution is the result of both the positive and negative portions of the solution.Tap for more steps...Step 9.3.1First, use the positive value of the to find the first solution.Step 9.3.2Next, use the negative value of the to find the second solution.Step 9.3.3The complete solution is the result of both the positive and negative portions of the solution.Step 10Solve the second equation for .Step 11Solve the equation for .Tap for more steps...Step 11.1Remove parentheses.Step 11.2Take the specified root of both sides of the equation to eliminate the exponent on the left side.Step 11.3Simplify .Tap for more steps...Step 11.3.1Rewrite as .Step 11.3.2Rewrite as .Step 11.3.3Rewrite as .Step 11.3.4Rewrite as .Step 11.3.5Pull terms out from under the radical, assuming positive real numbers.Step 11.3.6Move to the left of .Step 11.4The complete solution is the result of both the positive and negative portions of the solution.Tap for more steps...Step 11.4.1First, use the positive value of the to find the first solution.Step 11.4.2Next, use the negative value of the to find the second solution.Step 11.4.3The complete solution is the result of both the positive and negative portions of the solution.Step 12The solution to is .Step 13
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