i f space x squared plus 1 over x squared equals 5 comma space t h e n space f i n d space t h e space p o s i t i v e space v a l u e space o f space x minus 1 over x

Asked by kishor.kp14 | 30th Jul, 2019, 03:35: PM

Expert Answer:

begin mathsize 16px style We space know space that comma
left parenthesis straight a space minus space straight b right parenthesis squared space equals space straight a to the power of 2 space end exponent space plus space straight b squared space minus space 2 ab

rightwards double arrow open parentheses straight x space minus space 1 over straight x close parentheses squared space equals space straight x squared space plus space 1 over straight x squared space minus space 2 space cross times space straight x space cross times space 1 over straight x space
space space space space space space space space space space space space space space space space space space space space equals space straight x squared space plus space 1 over straight x squared space minus space 2 space
space space space space space space space space space space space space space space space space space space space space equals space 5 space minus space 2 space space space space space space space space space space space space space space space space space space space space space open parentheses space straight x squared space plus space 1 over straight x squared space equals space 5 space... space given close parentheses
space space space space space space space space space space space space space space space space space space space space equals space 3
Taking space positive space square space root space on space both space the space sides comma space we space get
straight x space minus space 1 over straight x space equals space square root of 3
end style

Answered by Yasmeen Khan | 30th Jul, 2019, 03:49: PM