Question

a+b=5 and a-6=3, fond (a ²+b²) = ?​

Answer 1

Answer:

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Here,

a = 5 + 2√6

b = 1/a

=1/( 5 + 2√6)

=(5 -2√6)/(5+2√6)(5 -2√6)

=(5 -2√6)/{5² -(2√6)²}

=(5 -2√6)/(25 -24)

=5 -2√6

now,

a² + b² = (a + b)² -2ab

=(5 +2√6 +5 -2√6)² -2(5 +2√6)(5 -2√6)

=(10)² -2(25 -24)

=100 -2

= 98

hence, a² + b² = 98

Answer 2

Answer:

Step-by-step explanation:

a+b=5

a-b=3

-------------

2a=8

a=4

b=1

a^2+b^2=16+1=17