4.905t^2-9.185t+0.65=0

Simple and best practice solution for 4.905t^2-9.185t+0.65=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 4.905t^2-9.185t+0.65=0 equation:


Simplifying
4.905t2 + -9.185t + 0.65 = 0

Reorder the terms:
0.65 + -9.185t + 4.905t2 = 0

Solving
0.65 + -9.185t + 4.905t2 = 0

Solving for variable 't'.

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

Divide each side by '4.905'.
0.1325178389 + -1.872579001t + t2 = 0

Move the constant term to the right:

Add '-0.1325178389' to each side of the equation.
0.1325178389 + -1.872579001t + -0.1325178389 + t2 = 0 + -0.1325178389

Reorder the terms:
0.1325178389 + -0.1325178389 + -1.872579001t + t2 = 0 + -0.1325178389

Combine like terms: 0.1325178389 + -0.1325178389 = 0.0000000000
0.0000000000 + -1.872579001t + t2 = 0 + -0.1325178389
-1.872579001t + t2 = 0 + -0.1325178389

Combine like terms: 0 + -0.1325178389 = -0.1325178389
-1.872579001t + t2 = -0.1325178389

The t term is -1.872579001t.  Take half its coefficient (-0.9362895005).
Square it (0.8766380287) and add it to both sides.

Add '0.8766380287' to each side of the equation.
-1.872579001t + 0.8766380287 + t2 = -0.1325178389 + 0.8766380287

Reorder the terms:
0.8766380287 + -1.872579001t + t2 = -0.1325178389 + 0.8766380287

Combine like terms: -0.1325178389 + 0.8766380287 = 0.7441201898
0.8766380287 + -1.872579001t + t2 = 0.7441201898

Factor a perfect square on the left side:
(t + -0.9362895005)(t + -0.9362895005) = 0.7441201898

Calculate the square root of the right side: 0.862624014

Break this problem into two subproblems by setting 
(t + -0.9362895005) equal to 0.862624014 and -0.862624014.

Subproblem 1

t + -0.9362895005 = 0.862624014 Simplifying t + -0.9362895005 = 0.862624014 Reorder the terms: -0.9362895005 + t = 0.862624014 Solving -0.9362895005 + t = 0.862624014 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.9362895005' to each side of the equation. -0.9362895005 + 0.9362895005 + t = 0.862624014 + 0.9362895005 Combine like terms: -0.9362895005 + 0.9362895005 = 0.0000000000 0.0000000000 + t = 0.862624014 + 0.9362895005 t = 0.862624014 + 0.9362895005 Combine like terms: 0.862624014 + 0.9362895005 = 1.7989135145 t = 1.7989135145 Simplifying t = 1.7989135145

Subproblem 2

t + -0.9362895005 = -0.862624014 Simplifying t + -0.9362895005 = -0.862624014 Reorder the terms: -0.9362895005 + t = -0.862624014 Solving -0.9362895005 + t = -0.862624014 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.9362895005' to each side of the equation. -0.9362895005 + 0.9362895005 + t = -0.862624014 + 0.9362895005 Combine like terms: -0.9362895005 + 0.9362895005 = 0.0000000000 0.0000000000 + t = -0.862624014 + 0.9362895005 t = -0.862624014 + 0.9362895005 Combine like terms: -0.862624014 + 0.9362895005 = 0.0736654865 t = 0.0736654865 Simplifying t = 0.0736654865

Solution

The solution to the problem is based on the solutions from the subproblems. t = {1.7989135145, 0.0736654865}

See similar equations:

| 12x-12=2x+6-6 | | 5x^2+12x-12=0 | | Log(1+x)=2.6 | | 12x-12=2x+6 | | 4/1.5=x/3 | | -4/7h=92 | | 50x^2+1250-450=0 | | 45+5x=180 | | 5x-1=2-1 | | (C-2)/13=1 | | 12=x/5-11 | | z/6=1.5 | | 50t/25^2= | | 12x-12=8x+12-12x | | 1w+8=3w-2 | | 800=3.14r^2(8) | | 20x+200=10x+400 | | m/3-14=5 | | 4x+121-5=59 | | 48+8m=104 | | 5=2/7r | | Y/3=-3 | | 20x^2+x= | | (4x+40)+5y=180 | | 9+4x+x-10=14 | | 4x-100+5x=400+4x | | 6+10y=26 | | 6x-6=8x+6-6x | | 15n-64=176 | | 18=50(1-t/25)^2 | | 55x+225=995 | | y=(6+7k)x |

Equations solver categories