8/x+3-2=3/2-x

Asked by deepvishal771 | 21st May, 2020, 06:21: PM

Expert Answer:

To solve: 8/(x+3) - 2 = 3/(2-x)
fraction numerator 8 over denominator x plus 3 end fraction minus 2 equals fraction numerator 3 over denominator 2 minus x end fraction
rightwards double arrow fraction numerator 8 minus 2 x minus 6 over denominator x plus 3 end fraction equals fraction numerator 3 over denominator 2 minus x end fraction
rightwards double arrow fraction numerator 2 minus 2 x over denominator x plus 3 end fraction equals fraction numerator 3 over denominator 2 minus x end fraction
rightwards double arrow open parentheses 2 minus 2 x close parentheses open parentheses 2 minus x close parentheses equals 3 open parentheses x plus 3 close parentheses
rightwards double arrow 4 minus 4 x minus 2 x plus 2 x squared equals 3 x plus 9
rightwards double arrow 2 x squared minus 6 x plus 4 minus 3 x minus 9 equals 0
rightwards double arrow 2 x squared minus 9 x minus 5 equals 0
rightwards double arrow 2 x squared minus 10 x plus x minus 5 equals 0
rightwards double arrow 2 x open parentheses x minus 5 close parentheses plus open parentheses x minus 5 close parentheses equals 0
rightwards double arrow open parentheses x minus 5 close parentheses open parentheses 2 x plus 1 close parentheses equals 0
rightwards double arrow x equals 5 space space o r space space x equals negative 1 half

Answered by Renu Varma | 22nd May, 2020, 10:05: AM