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Simplifying 11x4 + -3x2 + 26 = 0 Reorder the terms: 26 + -3x2 + 11x4 = 0 Solving 26 + -3x2 + 11x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 2.363636364 + -0.2727272727x2 + x4 = 0 Move the constant term to the right: Add '-2.363636364' to each side of the equation. 2.363636364 + -0.2727272727x2 + -2.363636364 + x4 = 0 + -2.363636364 Reorder the terms: 2.363636364 + -2.363636364 + -0.2727272727x2 + x4 = 0 + -2.363636364 Combine like terms: 2.363636364 + -2.363636364 = 0.000000000 0.000000000 + -0.2727272727x2 + x4 = 0 + -2.363636364 -0.2727272727x2 + x4 = 0 + -2.363636364 Combine like terms: 0 + -2.363636364 = -2.363636364 -0.2727272727x2 + x4 = -2.363636364 The x term is -0.2727272727x2. Take half its coefficient (-0.1363636364). Square it (0.01859504133) and add it to both sides. Add '0.01859504133' to each side of the equation. -0.2727272727x2 + 0.01859504133 + x4 = -2.363636364 + 0.01859504133 Reorder the terms: 0.01859504133 + -0.2727272727x2 + x4 = -2.363636364 + 0.01859504133 Combine like terms: -2.363636364 + 0.01859504133 = -2.34504132267 0.01859504133 + -0.2727272727x2 + x4 = -2.34504132267 Factor a perfect square on the left side: (x2 + -0.1363636364)(x2 + -0.1363636364) = -2.34504132267 Can't calculate square root of the right side. The solution to this equation could not be determined.
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