-16t^2+t+100=0

Simple and best practice solution for -16t^2+t+100=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 -16t^2+t+100=0 equation:


Simplifying
-16t2 + t + 100 = 0

Reorder the terms:
100 + t + -16t2 = 0

Solving
100 + t + -16t2 = 0

Solving for variable 't'.

Begin completing the square.  Divide all terms by
-16 the coefficient of the squared term: 

Divide each side by '-16'.
-6.25 + -0.0625t + t2 = 0

Move the constant term to the right:

Add '6.25' to each side of the equation.
-6.25 + -0.0625t + 6.25 + t2 = 0 + 6.25

Reorder the terms:
-6.25 + 6.25 + -0.0625t + t2 = 0 + 6.25

Combine like terms: -6.25 + 6.25 = 0.00
0.00 + -0.0625t + t2 = 0 + 6.25
-0.0625t + t2 = 0 + 6.25

Combine like terms: 0 + 6.25 = 6.25
-0.0625t + t2 = 6.25

The t term is t.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.0625t + 0.25 + t2 = 6.25 + 0.25

Reorder the terms:
0.25 + -0.0625t + t2 = 6.25 + 0.25

Combine like terms: 6.25 + 0.25 = 6.5
0.25 + -0.0625t + t2 = 6.5

Factor a perfect square on the left side:
(t + 0.5)(t + 0.5) = 6.5

Calculate the square root of the right side: 2.549509757

Break this problem into two subproblems by setting 
(t + 0.5) equal to 2.549509757 and -2.549509757.

Subproblem 1

t + 0.5 = 2.549509757 Simplifying t + 0.5 = 2.549509757 Reorder the terms: 0.5 + t = 2.549509757 Solving 0.5 + t = 2.549509757 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + t = 2.549509757 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + t = 2.549509757 + -0.5 t = 2.549509757 + -0.5 Combine like terms: 2.549509757 + -0.5 = 2.049509757 t = 2.049509757 Simplifying t = 2.049509757

Subproblem 2

t + 0.5 = -2.549509757 Simplifying t + 0.5 = -2.549509757 Reorder the terms: 0.5 + t = -2.549509757 Solving 0.5 + t = -2.549509757 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + t = -2.549509757 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + t = -2.549509757 + -0.5 t = -2.549509757 + -0.5 Combine like terms: -2.549509757 + -0.5 = -3.049509757 t = -3.049509757 Simplifying t = -3.049509757

Solution

The solution to the problem is based on the solutions from the subproblems. t = {2.049509757, -3.049509757}

See similar equations:

| r+28=1 | | 5y=7y+2 | | M-26=n | | 7x-19=3x+1 | | 23+yi=19-x+3i | | 8(x-3)=5(x+3) | | 3(7-5x)=6+(2x+8) | | 5x^2-72x+124=0 | | 2x+85+4x-36=180 | | 3logx-log(5)=4 | | 2x+85+4x-36=189 | | 3log(5)x-log(5)=4 | | 9e=13 | | x^2+8x+16=x^2-14x+5 | | 12/×^2=17 | | (2x)(x)=480 | | -3b+-14b=17 | | x^2+8x+16=x^2-14x+15 | | 17u-14u-2u=20 | | 4(3x-6)=13x+3 | | -3(-6-3k)=72 | | 2-5y=2 | | (4x)(x)=480 | | 10p-5p+4p+3p-11p=19 | | 18x-6x/6-3x | | -8x-5=4x+7 | | 0-5y=2 | | 36x+20y-17z=200 | | .8x-1.2=6 | | -0.55x-9=0.45x | | 17k-15k+4K=18 | | x^2-36x+c= |

Equations solver categories