Question

if a+b = 3 and ab = 2,find the value of :
1. a^2 + b^2​

Answer 1

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Answer 2

Answer:

a + b = 3

On squaring both sides;

$(a + b) {}^{2} = (3)^{2} \\ \\\implies a {}^{2} + b {}^{2} + 2ab = 9 \\ \\\implies a {}^{2} + b {}^{2} = 9 - 2 \times 2 \\ \\\boxed{\bf a {}^{2} + b {}^{2} = 5}$

Thank you!