2.6+2.7t-4.9t^2=0

Simple and best practice solution for 2.6+2.7t-4.9t^2=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 2.6+2.7t-4.9t^2=0 equation:


Simplifying
2.6 + 2.7t + -4.9t2 = 0

Solving
2.6 + 2.7t + -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'.
-0.5306122449 + -0.5510204082t + t2 = 0

Move the constant term to the right:

Add '0.5306122449' to each side of the equation.
-0.5306122449 + -0.5510204082t + 0.5306122449 + t2 = 0 + 0.5306122449

Reorder the terms:
-0.5306122449 + 0.5306122449 + -0.5510204082t + t2 = 0 + 0.5306122449

Combine like terms: -0.5306122449 + 0.5306122449 = 0.0000000000
0.0000000000 + -0.5510204082t + t2 = 0 + 0.5306122449
-0.5510204082t + t2 = 0 + 0.5306122449

Combine like terms: 0 + 0.5306122449 = 0.5306122449
-0.5510204082t + t2 = 0.5306122449

The t term is -0.5510204082t.  Take half its coefficient (-0.2755102041).
Square it (0.07590587256) and add it to both sides.

Add '0.07590587256' to each side of the equation.
-0.5510204082t + 0.07590587256 + t2 = 0.5306122449 + 0.07590587256

Reorder the terms:
0.07590587256 + -0.5510204082t + t2 = 0.5306122449 + 0.07590587256

Combine like terms: 0.5306122449 + 0.07590587256 = 0.60651811746
0.07590587256 + -0.5510204082t + t2 = 0.60651811746

Factor a perfect square on the left side:
(t + -0.2755102041)(t + -0.2755102041) = 0.60651811746

Calculate the square root of the right side: 0.778792731

Break this problem into two subproblems by setting 
(t + -0.2755102041) equal to 0.778792731 and -0.778792731.

Subproblem 1

t + -0.2755102041 = 0.778792731 Simplifying t + -0.2755102041 = 0.778792731 Reorder the terms: -0.2755102041 + t = 0.778792731 Solving -0.2755102041 + t = 0.778792731 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.2755102041' to each side of the equation. -0.2755102041 + 0.2755102041 + t = 0.778792731 + 0.2755102041 Combine like terms: -0.2755102041 + 0.2755102041 = 0.0000000000 0.0000000000 + t = 0.778792731 + 0.2755102041 t = 0.778792731 + 0.2755102041 Combine like terms: 0.778792731 + 0.2755102041 = 1.0543029351 t = 1.0543029351 Simplifying t = 1.0543029351

Subproblem 2

t + -0.2755102041 = -0.778792731 Simplifying t + -0.2755102041 = -0.778792731 Reorder the terms: -0.2755102041 + t = -0.778792731 Solving -0.2755102041 + t = -0.778792731 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.2755102041' to each side of the equation. -0.2755102041 + 0.2755102041 + t = -0.778792731 + 0.2755102041 Combine like terms: -0.2755102041 + 0.2755102041 = 0.0000000000 0.0000000000 + t = -0.778792731 + 0.2755102041 t = -0.778792731 + 0.2755102041 Combine like terms: -0.778792731 + 0.2755102041 = -0.5032825269 t = -0.5032825269 Simplifying t = -0.5032825269

Solution

The solution to the problem is based on the solutions from the subproblems. t = {1.0543029351, -0.5032825269}

See similar equations:

| F(x)=35x-602 | | (-32)-(-2.1)= | | -3x+2(x+1)=-8-5x+10+4x | | 9x+12/4+3x-2/2=7/2x | | -[5x-(3x+1)]=-3-[3(2x-3)-2x] | | -8x+4y-6x-4y= | | 6w-y=2zforw | | -3v+8(4-4v)=-108 | | 8v+5=-2(-7-3v)-1 | | 17=3(0-5)+8 | | z/3=-9z | | 9x^7-18x^6+63x^5= | | F(7)=100+2(7) | | 28x-7=7x-4 | | 2a-25=5(-5-6a) | | (-32)-(-2.1)-5= | | 7-8n=2-7n | | 180-82.5=(x*2) | | 3v^2+15v+18=0 | | 3.7-4d=2.3d+3 | | 5x-20=375 | | 5x^2-150=0 | | (x-2)*(x+7)= | | -x+1=x-21 | | 2x^2-4x+6x+12= | | (7x^2)-3x=0 | | n+(n+2)=-34 | | Ft=100+2(7) | | Ft=100+2t | | 1+17x+69=180 | | 12+8x-2=10x-12 | | 50c+w=220 |

Equations solver categories