Question

The difference between two numbers is 3 if the square of the smaller number is equal to 4 times the larger number then find the two numbers?

Answer 1

Step-by-step explanation:

Here is the ans.

#its Sayan.

Answer 2

Answer:

(1, -2) OR (9 , 6)

Step-by-step explanation:

Let the larger number be x.

And the smaller number = y

GIVEN: The difference between the two numbers is 3.

x - y = 3 ...(i)

y = (x - 3)

A/Q,

The square of the smaller number is equal to 4 times the larger number.

${y }^{2} = 4x \\ = > {(x - 3)}^{2} = 4x \\ = > {x}^{2} - 6x + 9 = 4x \\ = > {x}^{2} - 6x - 4x + 9 = 0 \\ = > {x}^{2} - 10x + 9 = 0 \\ = > {x}^{2} - x - 9x + 9 = 0 \\ = > x(x - 1) - 9(x - 1) = 0 \\ = > (x - 1)(x - 9) = 0 \\ = > (x - 1) = 0 \: \: \: or \: (x - 9) = 0 \\ x = 1 \: \: \: or \: x = 9$

* If x = 1, y = x -3 = 1 - 3 = -2

* If x = 9, y = x - 3 = 9 - 3 = 6

Therefore, two numbers are 1 and -2

OR, 9 and 6. ANS.