If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x4 + -11x2 + 4 = 0 Reorder the terms: 4 + -11x2 + x4 = 0 Solving 4 + -11x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + -11x2 + -4 + x4 = 0 + -4 Reorder the terms: 4 + -4 + -11x2 + x4 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -11x2 + x4 = 0 + -4 -11x2 + x4 = 0 + -4 Combine like terms: 0 + -4 = -4 -11x2 + x4 = -4 The x term is -11x2. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11x2 + 30.25 + x4 = -4 + 30.25 Reorder the terms: 30.25 + -11x2 + x4 = -4 + 30.25 Combine like terms: -4 + 30.25 = 26.25 30.25 + -11x2 + x4 = 26.25 Factor a perfect square on the left side: (x2 + -5.5)(x2 + -5.5) = 26.25 Calculate the square root of the right side: 5.123475383 Break this problem into two subproblems by setting (x2 + -5.5) equal to 5.123475383 and -5.123475383.Subproblem 1
x2 + -5.5 = 5.123475383 Simplifying x2 + -5.5 = 5.123475383 Reorder the terms: -5.5 + x2 = 5.123475383 Solving -5.5 + x2 = 5.123475383 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.5' to each side of the equation. -5.5 + 5.5 + x2 = 5.123475383 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + x2 = 5.123475383 + 5.5 x2 = 5.123475383 + 5.5 Combine like terms: 5.123475383 + 5.5 = 10.623475383 x2 = 10.623475383 Simplifying x2 = 10.623475383 Take the square root of each side: x = {-3.259367329, 3.259367329}Subproblem 2
x2 + -5.5 = -5.123475383 Simplifying x2 + -5.5 = -5.123475383 Reorder the terms: -5.5 + x2 = -5.123475383 Solving -5.5 + x2 = -5.123475383 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.5' to each side of the equation. -5.5 + 5.5 + x2 = -5.123475383 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + x2 = -5.123475383 + 5.5 x2 = -5.123475383 + 5.5 Combine like terms: -5.123475383 + 5.5 = 0.376524617 x2 = 0.376524617 Simplifying x2 = 0.376524617 Take the square root of each side: x = {-0.613616018, 0.613616018}Solution
The solution to the problem is based on the solutions from the subproblems. x = {-3.259367329, 3.259367329, -0.613616018, 0.613616018}
| -64+32x+8x^2-3x^2=0 | | 158-6x=30x+22 | | ln*5x+ln*(x-1)=1 | | -2(w-6)=6w+28 | | -4e-9= | | n^2=-7n | | 2w+6=6(w-1) | | 4b^3-20b^2-3b+15=0 | | 2(x-4)=9x+13 | | 999x=999 | | 35d^2-100=0 | | 30x+4x^2=54 | | 121x^3-x=0 | | -3a(-7+3)-(-5+9)=-9a(-3-7) | | x^2+225=0 | | 32-5m=12 | | E=ghm | | -3x^2+2x-5=0 | | x=y-2 | | 2s+4=10-8s | | 4m-16=36 | | 4x+8=20+2x | | 4x-9=9x+34 | | 2w+3=14 | | 11x^3+100x^2+275x+250=0 | | 7-2q=31 | | E=mgh | | 8-9x=72-37 | | -8x^2+38x-24=0 | | 4(2x-3)=4(x-4) | | -(8y+5)-(-7y-6)=-7 | | 4x^3-26x=-42x |