19.902t^2-103.626t+124.74=0

Simple and best practice solution for 19.902t^2-103.626t+124.74=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 19.902t^2-103.626t+124.74=0 equation: 


Simplifying
19.902t2 + -103.626t + 124.74 = 0

Reorder the terms:
124.74 + -103.626t + 19.902t2 = 0

Solving
124.74 + -103.626t + 19.902t2 = 0

Solving for variable 't'.

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

Divide each side by '19.902'.
6.267711788 + -5.206813386t + t2 = 0

Move the constant term to the right:

Add '-6.267711788' to each side of the equation.
6.267711788 + -5.206813386t + -6.267711788 + t2 = 0 + -6.267711788

Reorder the terms:
6.267711788 + -6.267711788 + -5.206813386t + t2 = 0 + -6.267711788

Combine like terms: 6.267711788 + -6.267711788 = 0.000000000
0.000000000 + -5.206813386t + t2 = 0 + -6.267711788
-5.206813386t + t2 = 0 + -6.267711788

Combine like terms: 0 + -6.267711788 = -6.267711788
-5.206813386t + t2 = -6.267711788

The t term is -5.206813386t.  Take half its coefficient (-2.603406693).
Square it (6.777726409) and add it to both sides.

Add '6.777726409' to each side of the equation.
-5.206813386t + 6.777726409 + t2 = -6.267711788 + 6.777726409

Reorder the terms:
6.777726409 + -5.206813386t + t2 = -6.267711788 + 6.777726409

Combine like terms: -6.267711788 + 6.777726409 = 0.510014621
6.777726409 + -5.206813386t + t2 = 0.510014621

Factor a perfect square on the left side:
(t + -2.603406693)(t + -2.603406693) = 0.510014621

Calculate the square root of the right side: 0.71415308

Break this problem into two subproblems by setting 
(t + -2.603406693) equal to 0.71415308 and -0.71415308.


Subproblem 1
t + -2.603406693 = 0.71415308

Simplifying
t + -2.603406693 = 0.71415308

Reorder the terms:
-2.603406693 + t = 0.71415308

Solving
-2.603406693 + t = 0.71415308

Solving for variable 't'.

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

Add '2.603406693' to each side of the equation.
-2.603406693 + 2.603406693 + t = 0.71415308 + 2.603406693

Combine like terms: -2.603406693 + 2.603406693 = 0.000000000
0.000000000 + t = 0.71415308 + 2.603406693
t = 0.71415308 + 2.603406693

Combine like terms: 0.71415308 + 2.603406693 = 3.317559773
t = 3.317559773

Simplifying
t = 3.317559773


Subproblem 2
t + -2.603406693 = -0.71415308

Simplifying
t + -2.603406693 = -0.71415308

Reorder the terms:
-2.603406693 + t = -0.71415308

Solving
-2.603406693 + t = -0.71415308

Solving for variable 't'.

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

Add '2.603406693' to each side of the equation.
-2.603406693 + 2.603406693 + t = -0.71415308 + 2.603406693

Combine like terms: -2.603406693 + 2.603406693 = 0.000000000
0.000000000 + t = -0.71415308 + 2.603406693
t = -0.71415308 + 2.603406693

Combine like terms: -0.71415308 + 2.603406693 = 1.889253613
t = 1.889253613

Simplifying
t = 1.889253613


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {3.317559773, 1.889253613}

See similar equations:

| 36+8=11 | | -9.7+h=14.58 | | 4x+4=-60 | | c+2.89=12.25 | | X-2x+4=17 | | y-4=-2(x-3) | | 7x-3/3=20 | | 5x^2+12x-36=0 | | 10z=7 | | -2/9-3x=-218/9 | | Y=50+10x | | 8d-2-3d=42 | | 2x+6+x=3-(x+5) | | 1.4-2.6= | | 8x-24=6x-10 | | 18(2x+5)=48 | | y=x^4-3x^3-7x^2+15x+18 | | 15y-3=0.75(12y+36) | | -2x/5+3=1 | | 25+45x=10+60x | | 6-4a=6(a-4) | | .4(3x-4)=12 | | -3x-4=-15 | | -10.28x=39.89 | | 14+x=38 | | 7(4x+7)=273 | | 40z-40=5(10z-28) | | -7m+120=-17m-10 | | X+2-3=11 | | -4.8+6.2=-8.48 | | X-1=-x+9 | | 121x^5-81x^3=0 |

Equations solver categories