The difference of the squares of two numbers is 45. The square of the smaller number is 4 times the larger number. Determine the numbers.
Quadratic Equations
56 Likes

Question

The difference of the squares of two numbers is 45. The square of the smaller number is 4 times the larger number. Determine the numbers.

KnowledgeBoat · Accepted Answer

Let the larger number be x . Given, the square of the smaller number is 4 times the larger number. Hence, square of smaller number = 4x Given, the difference of squares of two numbers is = 45 If x = -5 , , which is not valid as there is no real value of square root of a negative value. ∴ x = 9 , . Hence, the two numbers are 9, 6 or 9, -6.

Mathematics

The difference of the squares of two numbers is 45. The square of the smaller number is 4 times the larger number. Determine the numbers.

Quadratic Equations

Related Questions

Five times a certain whole number is equal to three less than twice the square of the number. Find the number.

There are three consecutive positive integers such that the sum of the square of the first and the product of the other two is 154. What are the integers ?

Find three succcessive even natural numbers, the sum of whose squares is 308.