Y=x2+5x-6

Simple and best practice solution for Y=x2+5x-6 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-6 equation:



=Y2+5Y-6
We move all terms to the left:
-(Y2+5Y-6)=0
We add all the numbers together, and all the variables
-(+Y^2+5Y-6)=0
We get rid of parentheses
-Y^2-5Y+6=0
We add all the numbers together, and all the variables
-1Y^2-5Y+6=0
a = -1; b = -5; c = +6;
Δ = b2-4ac
Δ = -52-4·(-1)·6
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-7}{2*-1}=\frac{-2}{-2} =1 $
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+7}{2*-1}=\frac{12}{-2} =-6 $

See similar equations:

| 19+y=47 | | 32+(-18)=n | | 2x-4=6-x | | 32=g=4 | | 4.8r=20 | | 15-10=x-15 | | 3(4j−3)+8=−1+12j | | (2x+8)-1=17 | | 6(×-3)=5x-23 | | 7x-x=108 | | 58−h−28=19 | | -40=2y+8y | | 58−g−28=19 | | 4x+-3=-2x-8 | | 9w+7=2w+42 | | 14m+20-7m=40+5+2m | | –7u+5u=6 | | 6x−5+8x−3=2x+16 | | 3(3+9x)=36 | | 1(-1y+-7)=-7 | | 7-4y=-13 | | 58−l−28=19 | | 83+55+x=180 | | 10w+6=13w | | 15x-28=32 | | 86+20m=186 | | 5w-23=12 | | 9=12+3y | | -8=3-m | | 8x-3x6x=25 | | –d+2d+6d=7 | | 0.4g=4 |

Equations solver categories