Question

$(x + 2) {}^{2} = 4(x + 3)$
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Answer 1

Answer:

(x+2)² = 4(x+3)

x² + 4x +4 = 4x + 12

x² +4x - 4x + 4 - 12 = 0

x² - 8 = 0

x² = 8

x = √8

x = 2√2

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Answer 2

Answer:

$\red{ x = 2 \sqrt{2}}$

Step-by-step explanation:

$(x + 2) ^{2} = 4(x + 3) \\ \\ \implies \: {x}^{2} + {2}^{2} +( 2 \times x \times 2) = 4x + 12 \\ \\ \implies \: {x}^{2} + 4 + 4x = 4x + 12 \\ \\ \implies \: {x}^{2} = \cancel{4x} - \cancel{ 4x} + 12 - 4 \\ \\ \implies \: {x}^{2} = 8 \\ \\ \implies \: x = \sqrt{8} \\ \\ \implies \: x = \sqrt{ \underline \red{2 \times 2} \times 2} \\ \\ \implies \: x = 2 \sqrt{2}$

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