-5=y(2y-11)

Simple and best practice solution for -5=y(2y-11) 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 -5=y(2y-11) equation:



-5=y(2y-11)
We move all terms to the left:
-5-(y(2y-11))=0
We calculate terms in parentheses: -(y(2y-11)), so:
y(2y-11)
We multiply parentheses
2y^2-11y
Back to the equation:
-(2y^2-11y)
We get rid of parentheses
-2y^2+11y-5=0
a = -2; b = 11; c = -5;
Δ = b2-4ac
Δ = 112-4·(-2)·(-5)
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-9}{2*-2}=\frac{-20}{-4} =+5 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+9}{2*-2}=\frac{-2}{-4} =1/2 $

See similar equations:

| 3x-(2x+1)=8 | | 0=4+​5​​x​​ | | 8(x-3)=2(6x-3) | | 5x-3=2(x=3) | | -6v-4.1v=-7.07 | | -16=3x+5=20 | | x^2-100x-1400=0 | | -3/4x+12=0 | | 3x-3/2=3/2 | | 1/5(15m-7)=3m-9 | | .8x=90 | | 0.3(15)+0.05x=0.2(15) | | (2x)=(3x-10) | | ^4-3a^2-4=0 | | 5x+6=2(2x–3 | | 4y-14=14y= | | 2x/7=(x-1)/3 | | 3c^2-21c-90=0 | | 22.75÷w=-3.5 | | -14=3x-12 | | 6x+8=-10x= | | 4x+8=10x-2(3x-4 | | 4(3c+7)=2c-8 | | -x-2=-11 | | (0.08)x+0.18(3)=0.12(x+3) | | 3/5c=15 | | 108÷n=9 | | 7-3(a=1)=8+a | | 2a+47=5a-4 | | 8s+1=6s+5 | | 7(x-8)+3=-53 | | 2d÷4=d+5 |

Equations solver categories