If a + b + c = 75 and ab + bc + ca = 216. Find the value of a2 + b2 + c2 = ?
1). 5194
2). 5191
3). 5193
4). 5192
The difference between two positive numbers is 6. If the sum of their squares is 180, then the sum of the numbers is
1). 81
2). 33
3). 18
4). 25
If \(5a + \frac{1}{{7a}} = 5\), then find the value of \(49{a^2} + \frac{1}{{25{a^2}}} = ?\)
1). 284/8
2). 235/7
3). 231/5
4). 261/6
If \(\;X = \frac{{2 + \sqrt 3 }}{{2 - \sqrt 3 }}\) then what is the value of \(X + \frac{1}{X}\)
1). 14
2). 8√3
3). 0
4). 18
If a + b = 8 and ab = 15, then a3 + b3 is
1). 224
2). 244
3). 152
4). 128