If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16t2 + 98t + 122 = 0 Reorder the terms: 122 + 98t + -16t2 = 0 Solving 122 + 98t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(61 + 49t + -8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(61 + 49t + -8t2)' equal to zero and attempt to solve: Simplifying 61 + 49t + -8t2 = 0 Solving 61 + 49t + -8t2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. -7.625 + -6.125t + t2 = 0 Move the constant term to the right: Add '7.625' to each side of the equation. -7.625 + -6.125t + 7.625 + t2 = 0 + 7.625 Reorder the terms: -7.625 + 7.625 + -6.125t + t2 = 0 + 7.625 Combine like terms: -7.625 + 7.625 = 0.000 0.000 + -6.125t + t2 = 0 + 7.625 -6.125t + t2 = 0 + 7.625 Combine like terms: 0 + 7.625 = 7.625 -6.125t + t2 = 7.625 The t term is -6.125t. Take half its coefficient (-3.0625). Square it (9.37890625) and add it to both sides. Add '9.37890625' to each side of the equation. -6.125t + 9.37890625 + t2 = 7.625 + 9.37890625 Reorder the terms: 9.37890625 + -6.125t + t2 = 7.625 + 9.37890625 Combine like terms: 7.625 + 9.37890625 = 17.00390625 9.37890625 + -6.125t + t2 = 17.00390625 Factor a perfect square on the left side: (t + -3.0625)(t + -3.0625) = 17.00390625 Calculate the square root of the right side: 4.123579301 Break this problem into two subproblems by setting (t + -3.0625) equal to 4.123579301 and -4.123579301.Subproblem 1
t + -3.0625 = 4.123579301 Simplifying t + -3.0625 = 4.123579301 Reorder the terms: -3.0625 + t = 4.123579301 Solving -3.0625 + t = 4.123579301 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.0625' to each side of the equation. -3.0625 + 3.0625 + t = 4.123579301 + 3.0625 Combine like terms: -3.0625 + 3.0625 = 0.0000 0.0000 + t = 4.123579301 + 3.0625 t = 4.123579301 + 3.0625 Combine like terms: 4.123579301 + 3.0625 = 7.186079301 t = 7.186079301 Simplifying t = 7.186079301Subproblem 2
t + -3.0625 = -4.123579301 Simplifying t + -3.0625 = -4.123579301 Reorder the terms: -3.0625 + t = -4.123579301 Solving -3.0625 + t = -4.123579301 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.0625' to each side of the equation. -3.0625 + 3.0625 + t = -4.123579301 + 3.0625 Combine like terms: -3.0625 + 3.0625 = 0.0000 0.0000 + t = -4.123579301 + 3.0625 t = -4.123579301 + 3.0625 Combine like terms: -4.123579301 + 3.0625 = -1.061079301 t = -1.061079301 Simplifying t = -1.061079301Solution
The solution to the problem is based on the solutions from the subproblems. t = {7.186079301, -1.061079301}Solution
t = {7.186079301, -1.061079301}
| 3*((3x^2)+(y^2))*dx-(2xy*dy)=0 | | x^2(x-1)-4(x-1)=0 | | M+36m=4m-5 | | R=(-1)/(2^(1/2)+3^(1/2))-(2)/(3^(1/2)+5^(1/2))+(3)/(5^(1/2)+2^(1/2)) | | E(105)=2(105) | | 2(x-4)+6x=16 | | 4x^4-19x^2-5x^2=0 | | 4m+36=-2-10+2 | | 6x+15y=0 | | X^4-6X^3-5X^2-42X+40=m | | (1/2)^1/2 | | 3(m+2)-3=-2m+8 | | -21xy=0 | | 26x-34=18 | | 3(x+5)=5x-7 | | 3(m+2)=-2m+8 | | 34-26x=18 | | 3xy-24xy=0 | | X/11+9=11 | | -6x-14=7x+12 | | z-530=221 | | -1+8(x-2)=15x+2-7x | | 0.50x+0.15(50)=23.5 | | 14-9x=8x+20 | | 1(3x-3y)=12 | | y+0.8y=3600 | | h/3+18=15 | | 3x-3y=(1)12 | | 4x^2+9x=9 | | h/3+18-15 | | 8-7x-2=-29+5x-13 | | t-2t-3t=32 |