Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 5

HARD

10th CBSE

IMPORTANT

Earn 100

The sum of the squares of two consecutive positive odd numbers is $514$ . Find the numbers.

Important Questions on Quadratic Equations

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10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 6

The sum of the squares of two consecutive positive even numbers is

452

. Find the numbers.

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10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 7

The product of two consecutive positive integers is

306

. Find the integers.

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10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 8

Two natural number differ by

3

and their product is

504

. Find the numbers.

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10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 9

Find two consecutive multiples of

3

whose product is

648

.

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10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 10

Find two consecutive positive odd integers whose product is

483

.

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10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 11

Find the two consecutive positive even integers whose product is

288

.

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10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 12

The sum of two natural numbers is

9

and the sum of their reciprocals is

\frac{1}{2}

. Find the numbers.

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 13

The sum of two natural numbers is $15$ and the sum of their reciprocals is $\frac{3}{10}$ . Find the numbers.

Also find the sum of squares of the numbers.