2x2/2x+77=140

Solution for 2x2/2x+77=140 equation:

2x^2/2x+77=140

We move all terms to the left:

2x^2/2x+77-(140)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

2x^2/2x-63=0

We multiply all the terms by the denominator


2x^2-63*2x=0

Wy multiply elements

2x^2-126x=0

a = 2; b = -126; c = 0;
Δ = b2-4ac
Δ = -1262-4·2·0
Δ = 15876
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15876}=126$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-126)-126}{2*2}=\frac{0}{4}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-126)+126}{2*2}=\frac{252}{4}
=63
$