Find the values of a2 + b2 and a4 + b4 when
if a + b= 5 and ab = 4, what is the
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Step-by-step explanation:
a^2 +b^2 = (a+b)^2 - 2a
a^2 +b^2 = ( 5)^2 - 2(4)
a^2 +b^2 = 25-8
a^2 +b^2 = 17-----------------------1
(a^2+b^2)^2 = (17)^2
a^4+b^4+2a^2b^2=289
a^4+b^4+2(ab)^2=289
a^4+b^4+2(4)^2=289
a^4+b^4=289-32
a^4+b^4=257----------------------2
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