Question

if x square root +y square root =89and xy =40, then find the value of x cube roots +y cube roots

Answer 1

♧♧HERE IS YOUR ANSWER♧♧

Given that :

x² + y² = 89 .....(i)

and

xy = 40 .....(ii)

From (i), we get :

(x + y)² - 2xy = 89

=> (x + y)² - (2 × 40) = 89, by (ii)

=> (x + y)² - 80 = 89

=> (x + y)² = 169 = 13²

So, x + y = ± 13

Taking the positive value, we write :

x + y = 13

So, x³ + y³

= (x + y)(x² + y² - xy)

= 13 × (89 - 40)

= 13 × 49

= 637.

Taking the negative value, we write :

x + y = -13

So, x³ + y³

= (x + y)(x² + y² - xy)

= (-13) × (89 - 40)

= - 13 × 49

= - 637

♧♧HOPE THIS HELPS YOU♧♧