If x + y = 5, $x^{3}+y^{3}$ = 35, then what is the positive difference between x and y?
1). 0
2). 1
3). 5
4). 6
1. What is the value of a - b when a2 + b2 - 6a - 6b + 18 = 0?
2. If the sum and product of two numbers is 34 and 288 respectively, find the sum of their cubes.
3. If \(a + \frac{1}{b} = 1\;\) and \(b + \frac{1}{c} = 1\), then the value of \(c + \frac{1}{a}\) is –
5. If x + y + z = 1, x2 + y2 + z2 = 2 and x3 + y3 + z3 = 3, then what is the value of xyz?
7. If $a^{3}+ b^{3}$ = 19 and ab = -6 , then what is the value of a + b?
9. Which of the following quadratic equations has real roots?
10. If the three medians of a triangle are same then the triangle is