4 months ago
Q:

2+x=15-7/8x how do you solve this?

Accepted Solution

A:
Answer:2+x=15-7/8xWe move all terms to the left:2+x-(15-7/8x)=0Domain of the equation: 8x)!=0x!=0/1x!=0x∈RWe add all the numbers together, and all the variablesx-(-7/8x+15)+2=0We get rid of parenthesesx+7/8x-15+2=0We multiply all the terms by the denominatorx*8x-15*8x+2*8x+7=0Wy multiply elements8x^2-120x+16x+7=0We add all the numbers together, and all the variables8x^2-104x+7=0a = 8; b = -104; c = +7;Ξ” = b2-4acΞ” = -1042-4Β·8Β·7Ξ” = 10592The delta value is higher than zero, so the equation has two solutionsWe use following formulas to calculate our solutions:x1=βˆ’bβˆ’Ξ”βˆš2ax2=βˆ’b+Ξ”βˆš2aThe end solution:Ξ”βˆ’βˆ’βˆš=10592βˆ’βˆ’βˆ’βˆ’βˆ’βˆš=16βˆ—662βˆ’βˆ’βˆ’βˆ’βˆ’βˆ’βˆ’βˆš=16βˆ’βˆ’βˆšβˆ—662βˆ’βˆ’βˆ’βˆš=4662βˆ’βˆ’βˆ’βˆšx1=βˆ’bβˆ’Ξ”βˆš2a=βˆ’(βˆ’104)βˆ’4662√2βˆ—8=104βˆ’4662√16x2=βˆ’b+Ξ”βˆš2a=βˆ’(βˆ’104)+4662√2βˆ—8=104+4662√16Step-by-step explanation: