Question

If a+b=5 and ab=6 find a2+b2
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Answer 1

a^2+b^2=(a+b)^2-2ab

a^2+b^2=(5)^2-2×6

a^2+b^2=25-12

a^2+b^2=13

Step-by-step explanation:

hope it will help u

Answer 2

a+b=5

Squaring on both sides

$(a + b)^{2} = {5}^{2} \\ {a}^{2} + {b}^{2} + 2ab = 25 \\ {a}^{2} + {b}^{2} + 2×6 = 25 \\ {a}^{2} + {b}^{2} + 12 = 25 \\ {a}^{2} + {b}^{2} = 25 - 12 \\ {a}^{2} + {b}^{2} = 13$