If it's not what You are looking for type in the equation solver your own equation and let us solve it.
a+1/a=5
We move all terms to the left:
a+1/a-(5)=0
Domain of the equation: a!=0We multiply all the terms by the denominator
a∈R
a*a-5*a+1=0
We add all the numbers together, and all the variables
-5a+a*a+1=0
Wy multiply elements
a^2-5a+1=0
a = 1; b = -5; c = +1;
Δ = b2-4ac
Δ = -52-4·1·1
Δ = 21
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-\sqrt{21}}{2*1}=\frac{5-\sqrt{21}}{2} $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{21}}{2*1}=\frac{5+\sqrt{21}}{2} $
| x*0.75=20 | | 14x-7x=7x-6 | | (1/5000)^-2x=5000 | | 55,000=10,000(1.04)9x | | (x+50)+(x+10)=180 | | a^2+7(1/a^2)=30 | | -3w+26=-5(w-2) | | 18x-6x-12x=-4+4 | | 58x+52=78x−7 | | 3x-8-7x=-8 | | 6.3×(63x-8)=2.7 | | 65-3x=20 | | 248=14(16.5+h) | | .05=(6d/6+12) | | 2-3(1-2/5x)=7/10x+(1-3x/2) | | 23-2u=13 | | 3(x–2)=x–8 | | j-33/7=5 | | 4k4=k | | 3c+10=-2c+26 | | h+7/3=7 | | p+28/2=-8 | | -9(t-97)=18 | | 0,5*(x-5)*(x+1)=0 | | 80/x+x=24 | | 7(b+1)=77 | | n/6+81=90 | | 3x+3-5x=2x-8-7x-4 | | -5+7x+x+2=-6+3x-2 | | -4x+7=x-8 | | m+9/5=2 | | c/8+13=18 |