Solve for X:fraction numerator straight x plus 1 over denominator straight x minus 1 end fraction plus fraction numerator straight x minus 2 over denominator straight x plus 2 end fraction equals 4 minus fraction numerator 2 straight x plus 3 over denominator straight x minus 2 end fraction

Asked by singh.dh | 8th Jun, 2019, 09:55: PM

Expert Answer:

begin mathsize 16px style fraction numerator straight x plus 1 over denominator straight x minus 1 end fraction plus fraction numerator straight x minus 2 over denominator straight x plus 2 end fraction equals 4 minus fraction numerator 2 straight x plus 3 over denominator straight x minus 2 end fraction end style
begin mathsize 16px style fraction numerator straight x squared plus 3 straight x plus 2 plus straight x squared minus 3 straight x plus 2 over denominator straight x squared plus straight x minus 2 end fraction equals fraction numerator 4 straight x minus 8 minus 2 straight x minus 3 over denominator straight x minus 2 end fraction end style
begin mathsize 16px style fraction numerator 2 straight x squared plus 4 over denominator straight x squared plus straight x minus 2 end fraction equals fraction numerator 2 straight x minus 11 over denominator straight x minus 2 end fraction end style
begin mathsize 16px style open parentheses 2 straight x squared plus 4 close parentheses open parentheses straight x minus 2 close parentheses equals open parentheses 2 straight x minus 11 close parentheses open parentheses straight x squared plus straight x minus 2 close parentheses end style
2x3 - 4x2 + 4x - 8 = 2x3 + 2x2 - 4x - 11x2 - 11x + 22
5x2 + 19x - 30 = 0
5x2 + 25x - 6x - 30 = 0
5x(x + 5) - 6(x + 5) = 0
(x + 5)(5x - 6) = 0
x = -5 or x = 6/5

Answered by Sneha shidid | 10th Jun, 2019, 09:21: AM