Question
What is the value of 8x³ + 18xy + y³ – 27 when 2x +
y – 3 = 0.Solution
2x + y – 3 = 0 2x + y=3 … (1) Both sides squaring… (2x+y)3 = (3)3 (2x)3+(y)3+3×2x ×y (2x+y) =27 8x3+y3+6xy (3) =27 8x3+y3+18xy =27 8x3+y3+18xy-27 =0.
The sum of the digits of a two-digit number is 9, and when the digits are reversed, the number decreases by 45. Find the changed number.
Find the number of multiplication blocks in 52900.
In a four digit number, the units place digit is one more than the hundreds place digit and the tens place digit is one less than the thousand place dig...
Divisor is 7 times of Quotient and 3 times of its remainder. If the remainder is 7. Find the dividend?
Find the difference between minimum and maximum value of 'k' such that '6k8194' is always divisible by 3.
- When 5 1850 is divided by 126, the remainder is:
- If '48x2y' is a five-digit number which is divisible by 72, then find the value of (x - y).
- 40% of 30% of 750 = x + 15, then find the sum of the squares of the digits of 'x'.
- Determine the total sum of all three-digit numbers that are divisible by both 2 and 7.
Two friends received a bonus of ₹3,000 each in their bank accounts. They already have ₹47,000 and ₹57,000 in their respective bank accounts. The r...
Relevant for Exams:
