Get 2 FREE Instant-Explanations on Filo with code FILOAPP

The difference of square of two numbers is 45 and square of th

Question

The difference of square of two numbers is $45$ and square of the smaller is $4$ times the larger number. Find two numbers.

Views: 669 students

Found 8 tutors discussing this question

Asher Discussed

The difference of square of two numbers is

45

and square of the smaller is

4

times the larger number. Find two numbers.

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

Let

x

and

y

are two number where

x > y

then
according to question

x^{2} - y^{2} = 45

and

y^{2} = 4 x

from both equation

x^{2} - 4 x = 45

\Rightarrow x^{2} - 4 x - 45 = 0

\Rightarrow x^{2} - 9 x + 5 x - 45 = 0

\Rightarrow x (x - 9) + 5 (x - 9) = 0

\Rightarrow (x - 9) + (x + 5) = 0

\Rightarrow x - 9 = 0

\Rightarrow x = 9

Larger number

(x) = 9

square smaller number

= 4 \times 9 = 36

Smaller no.

\pm 36 \pm 6

Hence, number are

9, 6

9, 6

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	The difference of square of two numbers is $45$ and square of the smaller is $4$ times the larger number. Find two numbers.
Answer Type	Text solution:1
Upvotes	150