Question

3x-15/2x+6=5/7
answer this question if you are real mathematician​

Answer 1

Step-by-step explanation:

3x-15/2x=6

We move all terms to the left:

3x-15/2x-(6)=0

Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R

We multiply all the terms by the denominator

3x*2x-6*2x-15=0

Wy multiply elements

6x^2-12x-15=0

a = 6; b = -12; c = -15;

Δ = b2-4ac

Δ = -122-4·6·(-15)

Δ = 504

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

x1=−b−Δ√2ax2=−b+Δ√2a

The end solution:

Δ−−√=504−−−√=36∗14−−−−−−√=36−−√∗14−−√=614−−√

x1=−b−Δ√2a=−(−12)−614√2∗6=12−614√12

x2=−b+Δ√2a=−(−12)+614√2∗6=12+614√12