QQuestion
If m + 1\over m = √3, then find the value of (a) m² + 1\over m^2 and (b) m³ + 1\over m^3.
✓Answer
Given: m + 1\over m = √3
(a) m² + 1\over m² = (m + 1\over m )² – 2
= (√3)² – 2
= 3 – 2 = 1
(b) m³ + 1\over m³ = (m + 1\over m )³ – 3 (m + 1\over m )
= (√3)³ – 3 (√3)
= 3√3 – 3 √3
= 0
Related Questions
More WBBSE Moderate level questions
If a = and ab = 1 calculate ( + )
If x = , then find the value of +
If x = √3 + √2 and y = 1/x then find (x + )² + ( - y)²
If x = and y = , then find the value of +
Find the simplest value of:
If x(4 - √3) = y(4 + √3) = 1, then the value of x² + y² = ______
Which one is greater √7 - √2 or √8 - √3?
If x + √(x² - 9) = 9 then find the value of x - √(x² - 9).
Which one of √8, √18, √27, √72 is not a similar surd?
Rationalize the surds of the denominator:
7√11 is an ___ number.
If the sum of the square of the roots of the equation 6x² + x + k = 0 is , then the value of k is 12.