Solve: begin mathsize 12px style fraction numerator 1 over denominator straight x plus 4 end fraction minus fraction numerator 1 over denominator straight x minus 7 end fraction equals 11 over 30 end style, where begin mathsize 12px style straight x not equal to negative 4 comma 7 end style

Asked by Topperlearning User | 12th Sep, 2017, 02:21: PM

Expert Answer:

, where x -4, 7

begin mathsize 12px style fraction numerator negative 11 over denominator open parentheses straight x space plus space 4 close parentheses open parentheses straight x space minus space 7 close parentheses end fraction equals 11 over 30
minus 30 space equals open parentheses straight x space plus space 4 close parentheses open parentheses straight x space minus space 7 close parentheses
minus 30 space equals space straight x squared space minus 3 straight x space minus space 28
space straight x squared space minus 3 straight x space minus space 28 space plus space 30 space equals space 0
space straight x squared space minus 3 straight x space plus space 2 space equals 0
open parentheses straight x space minus space 2 close parentheses open parentheses straight x space minus space 1 close parentheses equals 0
straight x space equals space 2 space or space 1 space end style

Thus, the roots of given equation are 1, 2.

Answered by  | 12th Sep, 2017, 04:21: PM