Question

show that 1/3-root8 -1/root8 - root7 + 1/root7 -6 root -1/root 6 - root 5+1/root 7 -6=5

Answer 1

f(x)+2f(1−x)=x

2

+2⋯⋯(i)

Put x=1−x

⇒f(1−x)+2f(x)=(1−x)

2

+2

Multiply by 2

⇒2f(1−x)+4f(x)=2(1−x)

2

+4⋯⋯(ii)

Subtract (ii) from (i)

−3f(x)=x

2

−2−2(1−x)

2

−3f(x)=x

2

−2−2x

2

+4x

−3f(x)=−(x

2

−4x+4)

f(x)=−

3

(x−2)

2

Have a nice day mate ❤️