If a - b = 3 and a2 + b2 = 29, find the value of ab.

Answers (1)

According to the problem given,

a - b = 3 ---( 1 )

a² + b² = 29----( 2 )

We know that the algebraic identity,

( a - b )² = a² + b² - 2ab

3² = 29 - 2 ab

[ From ( 1 ) and ( 2 ) ]

9 = 29 - 2ab

2ab = 29 - 9

2ab = 20

ab = 10

 

Preparation Products

JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
Buy Now
Rank Booster NEET 2021

This course will help student to be better prepared and study in the right direction for NEET..

₹ 13999/- ₹ 9999/-
Buy Now
Knockout JEE Main April 2021 (Easy Installments)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 4999/-
Buy Now
Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 14999/-
Buy Now
Knockout NEET May 2022

An exhaustive E-learning program for the complete preparation of NEET..

₹ 34999/- ₹ 24999/-
Buy Now
Exams
Articles
Questions