Question

if a²+b²=13 and ab=56, find the value of (a²+b²)​

Answer 1

Answer:

${a}^{2} + {b}^{2} = 13 \: and \: ab = 56 \\ ( {a}^{2} + {b}^{2} ) \\ = {(a + b)}^{2} \\ = ( {a }^{2} + {b}^{2} + 2ab) \\ \\ given \: \\ (13 + 2 \times 56) \\ (13 + 112) \\ 115$

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Answer 2

Step-by-step explanation:

a

2

+b

2

=13andab=56

(a

2

+b

2

)

=(a+b)

2

=(a

2

+b

2

+2ab)

given

(13+2×56)

(13+112)

115

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