Question

the product of two numbers is 150 and the sum of their square is 336.the difference of these two numbers is?​
step by step explain

Answer 1

Given data : The product of two numbers is 150 and the sum of their square is 336.

Solution : Let, two numbers be x and y

Now, according to given;

⟹ xy = 150 { 1 }

⟹ x² + y² = 336 { 2 }

Now, by formula;

⟹ (x - y)² = x² + y² - 2xy

⟹ (x - y)² = 360 - 2 * 150

⟹ (x - y)² = 360 - 300

⟹ (x - y)² = 60

⟹ x - y = √15 * 4

⟹ x - y = 2√15

⟹ x - y = 7.74

Answer : Difference of two numbers is 7.74.

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