Find  the value of p of which the equation px^2 -5x +p = 0 has equall root 
 

Asked by sucharitasahoo1 | 24th Nov, 2017, 09:00: PM

Expert Answer:

begin mathsize 16px style We space have
px squared minus 5 straight x plus straight p equals 0
Comparing space with space ax squared plus bx plus straight c equals 0 comma space we space get
straight a equals straight p comma space straight b equals negative 5 space and space straight c equals straight p
straight D equals straight b squared minus 4 ac equals open parentheses negative 5 close parentheses squared minus 4 cross times straight p cross times straight p equals 25 minus 4 straight p squared
The space equation space has space equal space roos.
rightwards double arrow straight D equals 0
rightwards double arrow 25 minus 4 straight p squared equals 0
rightwards double arrow 4 straight p squared equals 25
rightwards double arrow straight p squared equals 25 over 4
rightwards double arrow straight p equals plus-or-minus 5 over 4 end style

Answered by Rashmi Khot | 25th Nov, 2017, 02:41: PM