alleryStart learning →If x + 1/x = 2 for a real x, what is x^100 + 1/x^100?
A100
B1
C0
D2
Answer & Solution
Correct answer: D. 2
x + 1/x = 2 forces x = 1, so x^100 + 1/x^100 = 1 + 1 = 2.
Keep practising Basic Algebraic Identities and Elementary Surds
Browse all Basic Algebraic Identities and Elementary Surds questions for SSC CGL, or explore more Quantitative Aptitude topics.
Related questions
The number zero is the square of how many real numbers?How many real numbers have a square equal to 49?A square of a real number x is less than x exactly when x lies in which range?What is the product of sqrt2 and sqrt8?Which of the following numbers is irrational?The order of the surd fifth root of 7 is what?Which of these is a surd?Which is greater: sqrt3 or the cube root of 5?