MEDIUM
10th CBSE
IMPORTANT
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The sum of a natural number and its reciprocal is 658. Find the number.

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Important Questions on Quadratic Equations

MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 18

Divide 57 into two parts whose product is 680.

Also find the value when the smaller part is subtracted by the larger part?

HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 19
Divide `27` into two parts such that the sum of their reciprocal is `3/20`
HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 20
Divide 16 into two parts such that twice the square of the larger part exceeds the square of the smaller part by 164.
HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 21
Find two natural numbers, the sum of whose squares is 25 times their sum and also equal to 50 times their difference.
HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 22
The difference of the squares of two natural numbers is 45. The square of the smaller number is four times the larger number. Find the numbers.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 23
Three consecutive positive integers are such that the sum of the square of the first and product of the other two is 46. Find the integers.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 24
A two-digit number is 4 times the sum of its digits and twice the product of digits. Find the number.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 25
A two-digit number is such that the product of its digits is 14. If 45 is added to the number, the digit interchange their places. Find the number.