t^2-t=1.25

Simple and best practice solution for t^2-t=1.25 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 t^2-t=1.25 equation: 


Simplifying
t2 + -1t = 1.25

Reorder the terms:
-1t + t2 = 1.25

Solving
-1t + t2 = 1.25

Solving for variable 't'.

Reorder the terms:
-1.25 + -1t + t2 = 1.25 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
-1.25 + -1t + t2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '1.25' to each side of the equation.
-1.25 + -1t + 1.25 + t2 = 0.00 + 1.25

Reorder the terms:
-1.25 + 1.25 + -1t + t2 = 0.00 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + -1t + t2 = 0.00 + 1.25
-1t + t2 = 0.00 + 1.25

Combine like terms: 0.00 + 1.25 = 1.25
-1t + t2 = 1.25

The t term is -1t.  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.
-1t + 0.25 + t2 = 1.25 + 0.25

Reorder the terms:
0.25 + -1t + t2 = 1.25 + 0.25

Combine like terms: 1.25 + 0.25 = 1.5
0.25 + -1t + t2 = 1.5

Factor a perfect square on the left side:
(t + -0.5)(t + -0.5) = 1.5

Calculate the square root of the right side: 1.224744871

Break this problem into two subproblems by setting 
(t + -0.5) equal to 1.224744871 and -1.224744871.


Subproblem 1
t + -0.5 = 1.224744871

Simplifying
t + -0.5 = 1.224744871

Reorder the terms:
-0.5 + t = 1.224744871

Solving
-0.5 + t = 1.224744871

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 = 1.224744871 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + t = 1.224744871 + 0.5
t = 1.224744871 + 0.5

Combine like terms: 1.224744871 + 0.5 = 1.724744871
t = 1.724744871

Simplifying
t = 1.724744871


Subproblem 2
t + -0.5 = -1.224744871

Simplifying
t + -0.5 = -1.224744871

Reorder the terms:
-0.5 + t = -1.224744871

Solving
-0.5 + t = -1.224744871

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 = -1.224744871 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + t = -1.224744871 + 0.5
t = -1.224744871 + 0.5

Combine like terms: -1.224744871 + 0.5 = -0.724744871
t = -0.724744871

Simplifying
t = -0.724744871


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {1.724744871, -0.724744871}

See similar equations:

| x^2-t=1.25 | | 4.3(x+4)=52 | | 40x^2+26x+4= | | 6(x+4)=12(x) | | 64*x=180 | | 4(3x+1)=52 | | Z-11=7 | | -2Z^2+5iz+2=0 | | 9=45n | | -Z^2+5iz+2=0 | | 24x=14 | | 20=15n | | 16=18n | | 25=45m | | (5x+2y)(5x+2y)= | | x=10y+10 | | 54-(2x+74)=6+(8x-66) | | x^2-3.8x+3.61=0 | | ln(7x)=7 | | 3.1/0.6=n/1.1 | | (432x)^(1/x)=12 | | n/75=4/100 | | 25x-y=-30 | | 7y+10=5y+16 | | (4u^2-5u+3)+(-7u^2+U+6)=0 | | 2x(8x-5)-7x(x-3)=5x-1 | | X-4=(2x)^(1/2) | | n/3=35/21 | | 6w*8= | | 11y+8=6y | | 2(s+5)=5(s+8) | | (5x+2)(4y-1)= |

Equations solver categories