Question

If a+b=5 and ab=6,what is the value of a^2+b^2?

Answer 1

Answer:

a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

(a+ b + c)2 = a2 + b2 + c2+ 2 (ab + bc + ca)

(20)2 = 90 + 2 (ab + bc + ca)

400 - 90 = 2 (ab + bc + ca)

ab + bc + ca = 155

Answer 2

Answer:

13

Step-by-step explanation:

${a}^{2} + {b}^{2} = {(a + b)}^{2} - 2ab \\ = {5}^{2} - 2 \times 6 \\ = 25 - 12 \\ = 13$