If 32x - 3y = 3x + 2y = √81, then the value of y is?
1). 1/2
2). 3/2
3). 2/7
4). 3/4
We have, 32x - 3y = 3x + 2y
Comparing both the sides we get, 2x - 3y = x + 2y
⇒ x = 5y.
Also, 3x + 2y = √81 = 9 = 32
⇒ x + 2y = 2
⇒ 5y + 2y = 2
⇒ y = 2/74. If a + b = 5 and ab = 6, then what is the value of a3 + b3?
5. If 3a=4b=6c and a+b+c=27$\sqrt{29}$ then $\sqrt{a^{2}+b^{2}+c^{2}}$ is equal to
7. Given, 6x + 2(6 - x) > 2x - 2 < 5x/2 - 3x/4, then x can take which of the following values?
8. If $a^{3} + b^{3}$ = 35 and ab = 6, then what is the value of a + b?