If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x4 + -13x2 + 1 = 0 Reorder the terms: 1 + -13x2 + x4 = 0 Solving 1 + -13x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + -13x2 + -1 + x4 = 0 + -1 Reorder the terms: 1 + -1 + -13x2 + x4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -13x2 + x4 = 0 + -1 -13x2 + x4 = 0 + -1 Combine like terms: 0 + -1 = -1 -13x2 + x4 = -1 The x term is -13x2. Take half its coefficient (-6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. -13x2 + 42.25 + x4 = -1 + 42.25 Reorder the terms: 42.25 + -13x2 + x4 = -1 + 42.25 Combine like terms: -1 + 42.25 = 41.25 42.25 + -13x2 + x4 = 41.25 Factor a perfect square on the left side: (x2 + -6.5)(x2 + -6.5) = 41.25 Calculate the square root of the right side: 6.422616289 Break this problem into two subproblems by setting (x2 + -6.5) equal to 6.422616289 and -6.422616289.Subproblem 1
x2 + -6.5 = 6.422616289 Simplifying x2 + -6.5 = 6.422616289 Reorder the terms: -6.5 + x2 = 6.422616289 Solving -6.5 + x2 = 6.422616289 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + x2 = 6.422616289 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + x2 = 6.422616289 + 6.5 x2 = 6.422616289 + 6.5 Combine like terms: 6.422616289 + 6.5 = 12.922616289 x2 = 12.922616289 Simplifying x2 = 12.922616289 Take the square root of each side: x = {-3.594804068, 3.594804068}Subproblem 2
x2 + -6.5 = -6.422616289 Simplifying x2 + -6.5 = -6.422616289 Reorder the terms: -6.5 + x2 = -6.422616289 Solving -6.5 + x2 = -6.422616289 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + x2 = -6.422616289 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + x2 = -6.422616289 + 6.5 x2 = -6.422616289 + 6.5 Combine like terms: -6.422616289 + 6.5 = 0.077383711 x2 = 0.077383711 Simplifying x2 = 0.077383711 Take the square root of each side: x = {-0.278179279, 0.278179279}Solution
The solution to the problem is based on the solutions from the subproblems. x = {-3.594804068, 3.594804068, -0.278179279, 0.278179279}
| .11x+.2(x-5)=.01(4x-4) | | 6x-(2x-1)(2x+1)=2-(3+2x^2) | | 0=-4x^2+4000x | | (-8/9)+1/3(-3/8) | | 4f-2+8f=25 | | 0=-4x^2+4000 | | -x/4=-1/7 | | 2(-3/10)-4/15 | | .166666666d+.6666666667=.25(d-2) | | -20=-4x-2-5x | | 7/2x+1/2x=6+5/2x | | 2x(x-5)=x+3 | | (w/w-3)-(4w/4w-5)=(w-5/4w^2-17w+15) | | (x+3)2x-6=2600 | | 14x+27=17x+26 | | -4(3-2d)=9(2d-2) | | -3/x+11=-1 | | v-a=5 | | 6x-(2x-1)(2x+1)=2-(3+2x)2 | | (7/9-1)/(9/4) | | -3+11=-1 | | x^2-24=25 | | (1/4-1/2)/(1/5-1/3) | | 6-7x=6x-9x+2 | | 3(x-5)=3x+6 | | 3-6y=19y-14 | | (8/3-4)/(7/6+1) | | 34/6=12x+1/3 | | 8.58n+3.55=-2.91n+4.81 | | 6/5/1-7/4 | | 102=12x+1 | | 5/6/(1-7/4) |