7v-9/4v=0

Solution for 7v-9/4v=0 equation:

7v-9/4v=0


Domain of the equation: 4v!=0

v!=0/4

v!=0

v∈R


We multiply all the terms by the denominator


7v*4v-9=0

Wy multiply elements

28v^2-9=0

a = 28; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·28·(-9)
Δ = 1008
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1008}=\sqrt{144*7}=\sqrt{144}*\sqrt{7}=12\sqrt{7}$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{7}}{2*28}=\frac{0-12\sqrt{7}}{56}
=-\frac{12\sqrt{7}}{56}
=-\frac{3\sqrt{7}}{14}
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{7}}{2*28}=\frac{0+12\sqrt{7}}{56}
=\frac{12\sqrt{7}}{56}
=\frac{3\sqrt{7}}{14}
$