5/r+2/7r=1

Simple and best practice solution for 5/r+2/7r=1 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/r+2/7r=1 equation:



5/r+2/7r=1
We move all terms to the left:
5/r+2/7r-(1)=0
Domain of the equation: r!=0
r∈R
Domain of the equation: 7r!=0
r!=0/7
r!=0
r∈R
We calculate fractions
35r/7r^2+2r/7r^2-1=0
We multiply all the terms by the denominator
35r+2r-1*7r^2=0
We add all the numbers together, and all the variables
37r-1*7r^2=0
Wy multiply elements
-7r^2+37r=0
a = -7; b = 37; c = 0;
Δ = b2-4ac
Δ = 372-4·(-7)·0
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(37)-37}{2*-7}=\frac{-74}{-14} =5+2/7 $
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37)+37}{2*-7}=\frac{0}{-14} =0 $

See similar equations:

| 6x+10=2(3x+11) | | X/2+80=2f | | 4.5−1.5(6m+2)=6 | | -3m+9=-3(m+3) | | (2x)+(x+33)=90 | | 2(3)+1=5x-8 | | -14.9=u/5-2.4 | | (2x)+(x+33)=180 | | m/2-3=-5 | | 17-v=185 | | 6x+5x−25=−5x−28 | | 2x+1=8x-8 | | 0.5n+1.5n=-10 | | 5u+16=76 | | 10(x-3)=9(2x-6) | | 73-v=155 | | 281=212-w | | 6(7y+8)-(30y-45)=0 | | 2u-15=15 | | (5/6)x+(2/3)=(5/7) | | (x/11)-4=7 | | Y+64=5y | | (m/3)+4=21 | | (x/5)-6=5 | | 268=153-v | | -1/3n-1/45=-2 | | (x/5+-6=5 | | -1/3n-5=-2 | | 79=5w-16 | | 9a=a+72 | | −9x+3=−6x+18 | | 3(2p+1)=5+p+1) |

Equations solver categories