Question

If x+y=√3 and x-y=√5 then find the value of X2 +y 2

Answer 1

Answer:

x2 + y2= 4

Step-by-step explanation:

x =  √3 - y

x = √5 + y

therefore, √3 - y = √5 + y

(√3 - √5)/2 = y

x= √3 - (√3 - √5)/2

x= (2√3)/2 - (√3 - √5)/2

x= (√3 + √5)/2

x2 + y2 = [(√3 + √5)/2 ] ^ 2 + [(√3 - √5)/2 ] ^2

= [(3 + 3√15 + 5) + ( 3 - 2√15 + 5)] / 4 = 16 / 4 = 4