Question

if a and b are the zeroes of the quadratic polynomial f(x)=ax2+bx+c ,then evaluate
A) a4+b4
B) a2/b2 + b2/a2

Answer 1

a^4 + b^4 
(a²)²+(b²)²
(a+b)²=a²+b²+2ab
(a²+b²)²- 2a²b² mainey aisa iss liye kiya h taki roots ka format bna ske kyo ki alpha+beeta =-b/a 
and product of root alpha beeta hota h jo hota h   c/a ke equal  
or iss equation ko ham aisey bhi likh skte h 
((a+b)²-2ab)²-2a²b²
a+b = -b/a  ab =c/a
(-b/a)²-2c/a)² -2c²/a²
(b²/c²-2c/a)² - 2c²/a² 
(b²a-2c³/c²a)²-2c²a² kuch iss type ka ans bne ga 

Answer 2

here is the explanation for the answer.

hope it helps!!!!!