Question

if a+b=5 and ab=2, find a2+b2​

Answer 1

Answer:

mark branliest

Step-by-step explanation:

a + b = 5. b = 6/a; therefore a + 6/a = 5; therefore a² - 5a + 6 = 0

So we have a quadratic equation, and don’t even need the formula because it factorizes easily:

(a - 2) (a - 3) = 0. So a = 2 or 3, so b = 3 or 2.

So a² - b² = 2² - 3² = -5, or 3² - 2² = +5. ANSWER: plus or minus 5.