2y2=5y-2

Simple and best practice solution for 2y2=5y-2 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 2y2=5y-2 equation:



2y^2=5y-2
We move all terms to the left:
2y^2-(5y-2)=0
We get rid of parentheses
2y^2-5y+2=0
a = 2; b = -5; c = +2;
Δ = b2-4ac
Δ = -52-4·2·2
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-3}{2*2}=\frac{2}{4} =1/2 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+3}{2*2}=\frac{8}{4} =2 $

See similar equations:

| 5(t-3)+3t=4(2t+3)-8 | | 2.4x-10.38=5.7 | | x+x-46+x-35+1/2x=360 | | 1.7k+3.7k-8.4=-3 | | -86+3x=-7+164 | | –6r+2(r+2)–5=-20 | | y^-4y=0.8 | | -2x^2+8x=-24 | | -7-8=6+x | | K-A(Z+4)=x | | 4.9t^2-6.647t-2.5=0 | | K-1-2k=-5 | | -16x^2-19x+332=0 | | 10=6+2k/4 | | -6(x+2)-15=18+3 | | -21=3/7n | | 14/5+1/9t=4 | | -17+x=-10 | | 25=x/10 | | 2(3x-1)-5x=9 | | (2j/4)+5=8 | | 6+n5=-4 | | 8x+7x-66=88-7x | | .25x+17=x-4 | | (g+3)/5=1/2 | | 2^x+3=4^2x-3 | | 3i+3=21 | | (3x+2)+(x+1)=(2x+4)+(x+3 | | 50-2x²=0 | | 3x+7=49.3 | | 2x+3=1x-5 | | 4ee=3 |

Equations solver categories