The fourth Buddhist council was held

If x ,y,z are three integers such that x +y = 8,y +z =13 and z +x =17,then the value of x² /yz   is:

If, 2x + y = 13, and 2xy = 12, and 2x > y, then find the value of 8x³ – y³.

If (5x + 2)³ + (x – 1)³ + 8(3x – 7)³ = 6(5x + 2) × (x – 1) × (3x – 7), then the value of (5x + 3) is 

If x² – 5x + 1 = 0, then find the value of {x² + (1/x²)}.

For which value of k does the quadratic equation

x² − 4(k + 1)x + (3k² + 8k + 4) = 0

have equal real roots?

x + y = 4, xy = 2, y + z = 5, yz = 3, z + x = 6 and xz =4, then find the value of x ³  + y ³  + z ³  – 3xyz.

Which of the following statements is correct?

I. If x = 12, y = –2 and z = –10, then x³ + y³

+ z³ = 720

If a = 701, b= 703 and c= 706, then find the value of a³ + b³ +c³ –3abc?