Question

If a + b = 3 and ab = 2, find the value of:
a) a2 + b2​

Answer 1

Answer:

Given

$(a + b) = 3 \\ {(a + b)}^{2} = {3}^{2} \\ {a }^{2} + 2ab + {b}^{2} = 9 \\ {a}^{2} + {b}^{2} + 2 \times 2 = 9 \\ {a}^{2} + {b}^{2} + 4 = 9 \\ {a}^{2} + {b}^{2} = 9 - 4 \\ {a}^{2} + {b}^{2} = 5 \: \: \: (answer)$