Question

If a+2b= 5 and ab= 2 find a square + 4b square​

Answer 1

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❏ Question:-

If a+2b= 5 and ab= 2 find $a^2$+ 4$b^2$

❏ Solution:-

✏ Given:-

• a+2b= 5
• ab = 2

✏ To Find:-

• $a^2$+ 4$b^2$ = ?j

✏ Explanation :-

$\implies a^2+ 4b^2$

$\implies a^2+ (2b)^2$

$\implies( a+ 2b)^2-2\times a\times2b$

$\implies( a+ 2b)^2-4(ab)$

$\implies( 5)^2-4(2)$

$\implies25-8$

$\implies17$ (answer).

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Answer 2

$\huge\mathbb{SOLUTION:-}$

$: \implies \mathtt{a {}^{2} + 4b {}^{2}}$

$: \implies \mathtt{a {}^{2} + (2b) {}^{2}}$

$: \implies \mathtt{(a + 2b) {}^{2} - 2 \times a \times 2b}$

$: \implies \mathtt{(a + 2b) {}^{2} - 4(ab)}$

$: \implies \mathtt{(5)^2 - 4(3)}$

$: \implies \mathtt{25 - 8}$

$: \implies \texttt{17\:is\:your\:answer}$