Answer:2+x=15-7/8x
We move all terms to the left:
2+x-(15-7/8x)=0
Domain of the equation: 8x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
x-(-7/8x+15)+2=0
We get rid of parentheses
x+7/8x-15+2=0
We multiply all the terms by the denominator
x*8x-15*8x+2*8x+7=0
Wy multiply elements
8x^2-120x+16x+7=0
We add all the numbers together, and all the variables
8x^2-104x+7=0
a = 8; b = -104; c = +7;
Δ = b2-4ac
Δ = -1042-4·8·7
Δ = 10592
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−−√=10592−−−−−√=16∗662−−−−−−−√=16−−√∗662−−−√=4662−−−√
x1=−b−Δ√2a=−(−104)−4662√2∗8=104−4662√16
x2=−b+Δ√2a=−(−104)+4662√2∗8=104+4662√16
Explanation: