Question

If ab = 6 and a + b = 5 then a² + b² =
1. 11
2. 12
3. 13
4. 16

Answer 1

Answer:

let us assume a and b as 3 and 2 respectively

now 3+2=5,3×2=6

so a²+b²=3²+2²=9+4=13

a²+b²=13

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Answer 2

Answer: 13

Step-by-step explanation:

(a+b)^2

=a^2+b^2+2ab

=>a^2+b^2 =(a+b)^2–2ab

Given, a+b=5 and ab=6

So, a^2 +b^2

=(a+b)^2 −2ab=5^2−2×6=25−12= 13