Question

If (a+b) =9,(a-b)=10, find a^2+b^2​

Answer 1

Step-by-step explanation:

Given,

a + b = 9 and ab = 10

Now, squaring a + b = 9 on both sides, we have

(a+b)²=(9)

a²+b²+2ab=81

a²+b²+2×10=81

a²+b²+20=81

a²+b²=81−20=61

∴ a²+b²=61