square root of x space end root +y = 7

x + square root of y = 11, Find the value of x and y. 

Asked by chinmaykunal10 | 26th Dec, 2019, 10:05: PM

Expert Answer:

rootx + y = 7   .... (i)
x + rooty = 11 .... (ii)
 
Let x = p2 and y = q2
 
p + q = 7 ...(iii)
→ p = 7 - q  
 
p2 + q = 11  ... (iv)
 
Substituting the value of p in (iv), we get

(7 - q2 )2+ q = 11
 
After simplification, we get
(q-2)(q3 + 2q2 - 10q - 19) = 0
(q-2) = 0
→ q = 2
From (iii), we get
p =7 - 4 = 3'
 
→ x = p2 = 9 and y = q2 = 4
 


Answered by Yasmeen Khan | 27th Dec, 2019, 12:36: PM