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I. 27x6 - 152x3 + 125 = 0 Let x³ = a 27a2 - 152a + 125 = 0 27a2 - 125a - 27a + 125 = 0 a(27a - 125) - 1(27a - 125)=0 a=1,125/27 x³=1,125/27 x=1,5/3 II. (216y)6 - 91y3 + 8 = 0 Let y3 = b 216b2- 91b + 8 = 0 216b2- 27b - 64b + 8 = 0 27b(8b - 1) - 8(8b - 1) = 0 b = 1/8,8/27 y3 = 1/8,8/27 y = 1/2,2/3 Hence, x > y
If x + y = 7 and xy = 10, then the value of (1/x3 + 1/x3) is :
If 8x2 + y2 − 12x − 4xy + 9 = 0, then the value of (14x − 5y) is :
If (a + b)/c = 6/5 and (b + c)/a = 9/2, then what is the value of (a + c)/b?
There are 6 blue pens, 5 black pens and 4 green pens in a bag. Three pens are chosen randomly.
Quantity I – The probability of their bein...
If α and β are the roots of equation x2 – x + 1 = 0, then which equation will have roots α3 and β3?
...Quantity I – In how many ways letters of MOBILE can be arranged when vowels are always together.
Quantity II – In how many ways l...
If x + y + z = 0, then what is the value of (3y2 + x2 + z2)/(2y2 – xz)?
If a + b + c = 0 then the value of (1/(a+b)(b+c)) + (1/(b+c)(c+a)) + (1/(c+a)(a+b)) is
If a3 = 117 + b3 and a = 3 + b, then the value of a + b is:
IfX = (√5 + 1) / (√5 – 1) and y = (√5 – 1) / (√5 + 1) then the value of(x 2+xy+y
