Y=x2-5x+3

Simple and best practice solution for Y=x2-5x+3 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 Y=x2-5x+3 equation:



=Y2-5Y+3
We move all terms to the left:
-(Y2-5Y+3)=0
We add all the numbers together, and all the variables
-(+Y^2-5Y+3)=0
We get rid of parentheses
-Y^2+5Y-3=0
We add all the numbers together, and all the variables
-1Y^2+5Y-3=0
a = -1; b = 5; c = -3;
Δ = b2-4ac
Δ = 52-4·(-1)·(-3)
Δ = 13
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{13}}{2*-1}=\frac{-5-\sqrt{13}}{-2} $
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{13}}{2*-1}=\frac{-5+\sqrt{13}}{-2} $

See similar equations:

| -9(2f+7)=-19-4f | | 6q+30=-42 | | (Y+12)=(5y+15) | | -3(y+4)=8+2y | | -9k+4-7=29 | | -2w-3(w-4)=42 | | u/2+12=25 | | z/(8)=25 | | 9h+13=15h-1 | | -5n+17=4(n=11) | | 1+1,2x=18-1,2x | | (10w-1)=(9w+8) | | 3x=17^9-x | | 2(3.5)+2(x)=31 | | 8n-7+2n=-20 | | 160=-8(-5x+5) | | 9x+8-3x=50 | | -w+193=123 | | X+4=1,2x+11 | | -5n+17=4n-44 | | 2(x-3)+21=+21-3 | | 2c+17=33 | | 73=237-y | | -5v+7v=35 | | 11w=8939 | | 121-w=218 | | X=-1,y=29 | | 5=k/100 | | 17-9n=344 | | -8y-3=1 | | -16x-5=-53 | | 9/5(191.8-273.15)+13=f |

Equations solver categories