Advertisement Remove all ads

If a − B = 5 and Ab = 12, Find the Value of A2 + B2. - Mathematics

Answer in Brief

If a − b = 5 and ab = 12, find the value of a2 + b2

Advertisement Remove all ads

Solution

We have to find the value `a^2 +b^2`

Given  a-b = 5, ab = 12 

Using identity  `(a - b)^2 = a^2  - 2ab +b^2`

By substituting the value of   a-b = 5 ,ab = 12 we get ,

`(5)^2 = a^2 +b^2 - 2 xx 12`

`5 xx 5 = a^2 +b^2 - 2 xx 12`

`25 = a^2 +b^2 -24`

By transposing – 24 to left hand side we get 

`25 + 24 = a^2 +b^2`

         `49 = a^2 +b^2`

Hence the value of  `a^2 +b^2` is  49.

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 4 Algebraic Identities
Exercise 4.5 | Q 4 | Page 29
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×