If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x4 + -8x2 + 11 = 0 Reorder the terms: 11 + -8x2 + x4 = 0 Solving 11 + -8x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + -8x2 + -11 + x4 = 0 + -11 Reorder the terms: 11 + -11 + -8x2 + x4 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -8x2 + x4 = 0 + -11 -8x2 + x4 = 0 + -11 Combine like terms: 0 + -11 = -11 -8x2 + x4 = -11 The x term is -8x2. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x2 + 16 + x4 = -11 + 16 Reorder the terms: 16 + -8x2 + x4 = -11 + 16 Combine like terms: -11 + 16 = 5 16 + -8x2 + x4 = 5 Factor a perfect square on the left side: (x2 + -4)(x2 + -4) = 5 Calculate the square root of the right side: 2.236067978 Break this problem into two subproblems by setting (x2 + -4) equal to 2.236067978 and -2.236067978.Subproblem 1
x2 + -4 = 2.236067978 Simplifying x2 + -4 = 2.236067978 Reorder the terms: -4 + x2 = 2.236067978 Solving -4 + x2 = 2.236067978 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x2 = 2.236067978 + 4 Combine like terms: -4 + 4 = 0 0 + x2 = 2.236067978 + 4 x2 = 2.236067978 + 4 Combine like terms: 2.236067978 + 4 = 6.236067978 x2 = 6.236067978 Simplifying x2 = 6.236067978 Take the square root of each side: x = {-2.497212041, 2.497212041}Subproblem 2
x2 + -4 = -2.236067978 Simplifying x2 + -4 = -2.236067978 Reorder the terms: -4 + x2 = -2.236067978 Solving -4 + x2 = -2.236067978 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x2 = -2.236067978 + 4 Combine like terms: -4 + 4 = 0 0 + x2 = -2.236067978 + 4 x2 = -2.236067978 + 4 Combine like terms: -2.236067978 + 4 = 1.763932022 x2 = 1.763932022 Simplifying x2 = 1.763932022 Take the square root of each side: x = {-1.328131026, 1.328131026}Solution
The solution to the problem is based on the solutions from the subproblems. x = {-2.497212041, 2.497212041, -1.328131026, 1.328131026}
| 8x-8=-21 | | -4(n-7)-8=35-n | | 5=6h+5h+5(h-5) | | 9t-2(3t-4)= | | [x+1]=x^2-5 | | 4(1+4p)=31+7p | | 3x=27-6x | | 5x+20+25-x=75 | | 3y+10.5-12y=34.5+3y+24 | | 5y-4+4=41+4 | | 5(3y+11)+4y=-2 | | 5.50r+3.50r+6=51 | | 18k+3(4k+5)= | | 6a-4(-5a-3)=12a | | 41-2k=29 | | -2x-4(-.25+-.5x)=1 | | -4x+24=20 | | 4x^2-3x-16=0 | | 2x-5(3x+7)=121 | | 2x+34=11x+74 | | 8x=48-8x | | -(1-8x)+7=-10+4x | | 4x-11=2x+5 | | 24w-7+6w=-16-3w-32 | | 66=2n+n | | 48-2x=8x | | -5-10=2-[x+4] | | 8x+9=5x-27 | | 2x+19=35-6x | | 27=3+2g | | 2(1-x)+3x=-4(x+1) | | 7(0.25x-9.25)-6x=-86 |