Question

For which values of p and q is p^2 + q^2 = 7225

Answer 1

( x + a) ( x + b) = x^2 + ( a + b) x + ab

Generalizing the formula put, b = - a.

Now,

⇒(x+a) ( x - a)

⇒ x^2 + ( a - a) x + a(-a)

⇒ x^2 - a^2

So, We have generalized the formula,

(a + b) ( a - b) = a^2 - b^2.

We are given that,

⇒p² - q² = 75

⇒p - q = 2

So,

⇒p² - q² = ( p + q) ( p - q)

⇒75 = ( p + q) × 2

⇒75/2 = ( p + q).

Therefore, ( p + q) = 75/2.

Answer 2

Step-by-step explanation:

p=75

q=73

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