If x+y+z=10, x²+y²+z²=30, then the value of x³+y³+z³-3xyz is _________.

If 4x² + y² = 40 and xy = 6, then find the value of 2x + y.

if x+y =3 and $${1\over x}+{1\over y}= -{3\over 10}$$ then the value of (x²+y²) is :

Simplify the following expression.

$${\left({375+125} \right)^2-\left({125-375} \right)^2}\over 375×375-125×125$$

If x²+4y²=17 and xy=2, where x>0,y>0, then what is the value of x³+8y³?

When a number x is divided by a divisor it is seen that the divisor = 4 times the quotient=double the remainder. If the remainder is 80 then the value of x is

Directions: In each of these questions, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly.

(i) 21x² + 10x + 1 = 0
 (ii) 24y²+ 26y + 5 = 0

Directions: In each of these questions, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly.

(i) 12x² + 11x + 2 = 0
(ii) 12y²+ 7y + 1 = 0