4.9t^2-106.066t-10=0

Simple and best practice solution for 4.9t^2-106.066t-10=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 4.9t^2-106.066t-10=0 equation: 


Simplifying
4.9t2 + -106.066t + -10 = 0

Reorder the terms:
-10 + -106.066t + 4.9t2 = 0

Solving
-10 + -106.066t + 4.9t2 = 0

Solving for variable 't'.

Begin completing the square.  Divide all terms by
4.9 the coefficient of the squared term: 

Divide each side by '4.9'.
-2.040816327 + -21.64612245t + t2 = 0

Move the constant term to the right:

Add '2.040816327' to each side of the equation.
-2.040816327 + -21.64612245t + 2.040816327 + t2 = 0 + 2.040816327

Reorder the terms:
-2.040816327 + 2.040816327 + -21.64612245t + t2 = 0 + 2.040816327

Combine like terms: -2.040816327 + 2.040816327 = 0.000000000
0.000000000 + -21.64612245t + t2 = 0 + 2.040816327
-21.64612245t + t2 = 0 + 2.040816327

Combine like terms: 0 + 2.040816327 = 2.040816327
-21.64612245t + t2 = 2.040816327

The t term is -21.64612245t.  Take half its coefficient (-10.82306123).
Square it (117.1386544) and add it to both sides.

Add '117.1386544' to each side of the equation.
-21.64612245t + 117.1386544 + t2 = 2.040816327 + 117.1386544

Reorder the terms:
117.1386544 + -21.64612245t + t2 = 2.040816327 + 117.1386544

Combine like terms: 2.040816327 + 117.1386544 = 119.179470727
117.1386544 + -21.64612245t + t2 = 119.179470727

Factor a perfect square on the left side:
(t + -10.82306123)(t + -10.82306123) = 119.179470727

Calculate the square root of the right side: 10.916935043

Break this problem into two subproblems by setting 
(t + -10.82306123) equal to 10.916935043 and -10.916935043.


Subproblem 1
t + -10.82306123 = 10.916935043

Simplifying
t + -10.82306123 = 10.916935043

Reorder the terms:
-10.82306123 + t = 10.916935043

Solving
-10.82306123 + t = 10.916935043

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '10.82306123' to each side of the equation.
-10.82306123 + 10.82306123 + t = 10.916935043 + 10.82306123

Combine like terms: -10.82306123 + 10.82306123 = 0.00000000
0.00000000 + t = 10.916935043 + 10.82306123
t = 10.916935043 + 10.82306123

Combine like terms: 10.916935043 + 10.82306123 = 21.739996273
t = 21.739996273

Simplifying
t = 21.739996273


Subproblem 2
t + -10.82306123 = -10.916935043

Simplifying
t + -10.82306123 = -10.916935043

Reorder the terms:
-10.82306123 + t = -10.916935043

Solving
-10.82306123 + t = -10.916935043

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '10.82306123' to each side of the equation.
-10.82306123 + 10.82306123 + t = -10.916935043 + 10.82306123

Combine like terms: -10.82306123 + 10.82306123 = 0.00000000
0.00000000 + t = -10.916935043 + 10.82306123
t = -10.916935043 + 10.82306123

Combine like terms: -10.916935043 + 10.82306123 = -0.093873813
t = -0.093873813

Simplifying
t = -0.093873813


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {21.739996273, -0.093873813}

See similar equations:

| 21(32+6g)=g | | (8-3x+1)=-23(x+1) | | x^2+13x+46=-2x+2 | | -7=x+(-10) | | -10+x=-(x-10) | | 21(21-21)=43 | | 16=0.002x | | 21(21-21)=21 | | 4.9t^2-75sqrt(2)t-10=0 | | 24=-2(5-3)+8 | | 2.33=(x-55)/4 | | 8=0.50x | | m-(-15)=-5 | | 5n+39=-2(1-7n) | | -x=2x+12 | | -16=-2n | | 1/2(y-116)=64 | | 1/2(y-116)=6 | | 98=7(n+9) | | -8+m=-17 | | -1.28=(x-55)/4 | | 52+f=2800 | | 1/2(y-64)=116 | | n/16=-3 | | 22-3n-7+9n=3 | | b/13=15 | | 21000=70*N+3500 | | 8x^2+26x-7= | | 10x+35=0 | | 33=19+a | | 45=0.03x | | 80*10x= |

Equations solver categories