IMO Olympiad Work Book 10>Chapter 4 - Quadratic Equations>ACHIEVERS SECTION (HOTS)>Q 20

MEDIUM

10th Foundation

IMPORTANT

Earn 100

The denominator of a fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is $2 \frac{16}{21}$ , find the fraction.

50% studentsanswered this correctly

Important Questions on Quadratic Equations

MEDIUM

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 4 - Quadratic Equations>MATHEMATICAL REASONING>Q 12

The roots of the equation

x^{2 / 3} + x^{1 / 3} - 2 = 0

are ______.

HARD

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 4 - Quadratic Equations>EVERYDAY MATHEMATICS>Q 15

In the Maths Olympiad of

2020

at Animal Planet, two representatives from the donkey’s side, while solving a quadratic equation, committed the following mistakes.
(i) One of them made a mistake in the constant term and got the
roots as

5

and

9

.
(ii) Another one committed an error in the coefficient of

x

and he
got the roots as

12

and

4

.
But in the meantime, they realised that they are wrong and they managed to get it right jointly. Find the quadratic equation.