Question

2 _ 2 -7+80692-7298_58182+819÷637×36373​

Answer 1

Answer:

Step-by-step explanation:

Let the first multiple of 7 be x

Hence, the second multiple will be x+7

Now, the sum of squares of both these multiples is 637 so,

(x)^2 + (x+7)^2 = 637

x^2 + x^2 + 14x + 49 = 637

2x^2 + 14x = 637 - 49

2x^2 + 14x = 588

2x^2 + 14x - 588 = 0

x^2 + 7x - 294 = 0 (Divided by 2)

x^2 + 21x - 14x - 294 = 0

x(x + 21) -14(x + 21) = 0

(x + 21) (x - 14) = 0

Now, the roots are -21 and 14

Since, the multiples cannot be negative so, x = 14

Now, the two multiples are

x = 14

and, x + 7 = 14 + 7 = 21

Hence, the two multiples are 14 and 21.

I hope it will be helpful for u!!!