Question

if a+ b=4 and ab= 2 find value of a2+b2

Answer 1

Answer:

12

Step-by-step explanation:

(a + b) = 4

Squaring both sides, we get,

$(a+b)^{2} =4^{2} \\a^{2} + 2ab + b^{2} =16\\a^{2} + b^{2} + 2ab = 16\\a^{2} + b^{2} + 2*2 = 16 ---> ab=2\\a^{2} + b^{2} = 16 - 4\\a^{2} + b^{2} = 12$