Question

[12] If a + b = 11 and ab = 24 find a2 + b2​

Answer 1

Answer:

a² + b² = 73

Step-by-step explanation:

$\huge\mathbf\green{Given:-}$

a + b = 11 and ab = 24

$\huge\mid\mathscr\red{To\:Find}$

a² + b²

${\blue{\underline{\underline{\bold{\huge{Formula\:Used :-}}}}}}$

(a+b)² = a² + b² + 2ab

$\huge\mathfrak{\pink{\fbox{\purple{\bigstar{\mathfrak{\orange{Solution:}}}}}}}$

${(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab \\ = > {(11)}^{2} = {a}^{2} + {b}^{2} + 2 \times 24 \\ = > 121 = {a}^{2} + {b}^{2} + 48 \\ = > 121 - 48 = {a}^{2} + {b}^{2} \\ = > {a}^{2} + {b}^{2} = 73$

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Answer 2

Answer:

73 is the answer.

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