t^2-3t+5=0

Simple and best practice solution for t^2-3t+5=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 t^2-3t+5=0 equation:


Simplifying
t2 + -3t + 5 = 0

Reorder the terms:
5 + -3t + t2 = 0

Solving
5 + -3t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -3t + -5 + t2 = 0 + -5

Reorder the terms:
5 + -5 + -3t + t2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3t + t2 = 0 + -5
-3t + t2 = 0 + -5

Combine like terms: 0 + -5 = -5
-3t + t2 = -5

The t term is -3t.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3t + 2.25 + t2 = -5 + 2.25

Reorder the terms:
2.25 + -3t + t2 = -5 + 2.25

Combine like terms: -5 + 2.25 = -2.75
2.25 + -3t + t2 = -2.75

Factor a perfect square on the left side:
(t + -1.5)(t + -1.5) = -2.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 8r^2+26rs+15s^2=8r^2+6rs+20rs+15s^2 | | x^(1/2)=-5 | | 6(2x-6)=2(6x+8) | | 228//W=127 | | 228/W=127 | | 6x-14=3x+10 | | 127/R=228 | | -4x+2=-2(3x+5) | | -5x+13=-3x+23 | | 8y+8xy-90x+90=0 | | 2y+1=6x+3 | | 24-q=19 | | c-25=7 | | 40-15=n | | r-47=35 | | 7x+3y+9z-5x+5z-7y= | | 33-s=15 | | 45-16=n | | m-28=8 | | 58-b=20 | | 65-n=25 | | 3y-1=4x+3 | | x^2*a+x*b+c=0 | | x^2*a+x*a+c=0 | | (x-a)(x-b)=abx^2 | | fx=0.5((x*x)-6x-7) | | 85*W=18 | | x-6y=57 | | 85/W=18 | | 6x-16=30-6x | | 6.89*W=18 | | 37a*37b=4107 |

Equations solver categories