Question

if a+b=13,a-b=11 find the value of a²+b²
with solution ​

Answer 1

Answer:

145

Step-by-step explanation:

a + b = 13______(1)

a - b = 11_______(2)

Solving these equations

2a = 24

a = 24/2 = 12

Putting value of a in eq. 1

a + b = 13

12 + b = 13

b = 1

a² + b² = (a + b)² - 2ab

a² + b² = (a + b)² - 2ab = (13)² - 2 × 12 × 1

a² + b² = (a + b)² - 2ab = (13)² - 2 × 12 × 1 = 169 - 24

a² + b² = (a + b)² - 2ab = (13)² - 2 × 12 × 1 = 169 - 24 = 145