49x^2/64x-36=0

Solution for 49x^2/64x-36=0 equation:

49x^2/64x-36=0


Domain of the equation: 64x!=0

x!=0/64

x!=0

x∈R


We multiply all the terms by the denominator


49x^2-36*64x=0

Wy multiply elements

49x^2-2304x=0

a = 49; b = -2304; c = 0;
Δ = b2-4ac
Δ = -23042-4·49·0
Δ = 5308416
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5308416}=2304$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2304)-2304}{2*49}=\frac{0}{98}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2304)+2304}{2*49}=\frac{4608}{98}
=47+1/49
$