63/9b=7b

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Solution for 63/9b=7b equation:



63/9b=7b
We move all terms to the left:
63/9b-(7b)=0
Domain of the equation: 9b!=0
b!=0/9
b!=0
b∈R
We add all the numbers together, and all the variables
-7b+63/9b=0
We multiply all the terms by the denominator
-7b*9b+63=0
Wy multiply elements
-63b^2+63=0
a = -63; b = 0; c = +63;
Δ = b2-4ac
Δ = 02-4·(-63)·63
Δ = 15876
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15876}=126$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-126}{2*-63}=\frac{-126}{-126} =1 $
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+126}{2*-63}=\frac{126}{-126} =-1 $

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