If it's not what You are looking for type in the equation solver your own equation and let us solve it.
X+1/5X=14
We move all terms to the left:
X+1/5X-(14)=0
Domain of the equation: 5X!=0We multiply all the terms by the denominator
X!=0/5
X!=0
X∈R
X*5X-14*5X+1=0
Wy multiply elements
5X^2-70X+1=0
a = 5; b = -70; c = +1;
Δ = b2-4ac
Δ = -702-4·5·1
Δ = 4880
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{4880}=\sqrt{16*305}=\sqrt{16}*\sqrt{305}=4\sqrt{305}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-4\sqrt{305}}{2*5}=\frac{70-4\sqrt{305}}{10} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+4\sqrt{305}}{2*5}=\frac{70+4\sqrt{305}}{10} $
| 3x=11+8 | | 180-20-(140-x)=(20-x) | | 2+7(x-9)=8-4(x-5) | | 5x-6=1x+9 | | 2-(5x+2)=3-x | | -4(5n+3)=12 | | 18=360-x | | 39=5x+5 | | 19x^2+68x+436=0 | | 7-3x+4x=-4 | | 22/3x=1.6÷6/11 | | 11=20/x+x | | 22/3x=1.6/6/11 | | I2n+3=5n-11 | | -6-3v=12 | | 3x/6+5=x/4-1/6 | | 3^2x-5=13 | | x²-13x=-200 | | 22−3x^2=−53 | | 10x-6(3x-4)=2-3x | | 6x-9=6+8x-10 | | 75=3-12l | | 21−3h=6−6h | | (2.9)m=5/4 | | 2p+3+3.8=2.4+6-p | | (2,9,m=5/4 | | 3/p=9/8 | | 2x^2−6=14 | | 5t^2+11t+3=0 | | 12−4x=−20 | | 2.4x+5+4=6 | | 1.5d-2+0.7d+1=4-1.3d+2.5+d |