If it's not what You are looking for type in the equation solver your own equation and let us solve it.
5/4y+y=189
We move all terms to the left:
5/4y+y-(189)=0
Domain of the equation: 4y!=0We add all the numbers together, and all the variables
y!=0/4
y!=0
y∈R
y+5/4y-189=0
We multiply all the terms by the denominator
y*4y-189*4y+5=0
Wy multiply elements
4y^2-756y+5=0
a = 4; b = -756; c = +5;
Δ = b2-4ac
Δ = -7562-4·4·5
Δ = 571456
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}$$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{571456}=\sqrt{64*8929}=\sqrt{64}*\sqrt{8929}=8\sqrt{8929}$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-756)-8\sqrt{8929}}{2*4}=\frac{756-8\sqrt{8929}}{8} $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-756)+8\sqrt{8929}}{2*4}=\frac{756+8\sqrt{8929}}{8} $
| 5x+4=16x | | xˆ2-6x-1440=0 | | 25x-10=21x+14 | | 3x+x+3=67 | | (2x+8)(2x-3)=0 | | 7(3-2x)+3=x+4(x-1) | | 2(3x^2+4)=19 | | 0.6x=-8/5 | | 3q+9q=24 | | X+96°=4x | | 2/3+w=1*1/2 | | 14b-9b=40 | | 2(p+5)=3(p-8) | | f/7+3=12 | | 6y-15+4y=5 | | 8/x=9/2x-1 | | Y+5=11y | | 8-3n/5=n | | (x)=40 | | -5+2.5=-3x+1.1 | | 4=6–3x | | 4x+9x+22=152. | | 2(m-3)^2=18 | | (x)-6=24 | | (x)+5=30 | | (2x+5)+(3x-7)=-18 | | 3x+8=2+5 | | F(x)=x/(15-3x) | | 5b^2+14b+13=10 | | 2x+3/5=3x/4-1 | | 2x/5-18=-24 | | X+6=3x–10 |