Pooja starts from a point walks 30 m towards West, turns

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

If a = (√2 - 1)^1/3, then the value of (a-1/a)³ +3(a-1/a) is:

If both the roots of x ²  + kx + 49 = 0 are real and equal, then find the value of 'k'.

3^x +3^y =10 and 3^x+y =5 then find the value of 3^x-y +3^y-x.

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:

Let {x + (1/x)} = 4, then Determine the value of {x² + (1/x²)}

Find ‘x’ if (x³+3x)/(3x²+1) = 189/61

If a + b + c = 6, a² + b² + c² = 14 and ab + bc+ ca = 11, then what is the value of a³ + b³ +c³ –3abc?