Question

If a+b=3 and ab=3 what is the value of a^2 +b^2

Answer 1

Step-by-step explanation:

• a+b=3
• ab=3

$\\ \tt\hookrightarrow (a+b)^2=a^2+b^2+2ab$

$\\ \tt\hookrightarrow (3)^2=a^2+b^2+2(3)$

$\\ \tt\hookrightarrow 9=a^2+b^2+6$

$\\ \tt\hookrightarrow a^2+b^2=9-6$

$\\ \tt\hookrightarrow a^2+b^2=3$