Question

Observando os exemplos acima, resolva as equaçõespolinomiais de 2º grau do tipo ax² = b.

a)2.x² = 72

b)2.x² = 50

c)3.x² = 12

d)3.x² = 243

e)3.x² = 300

f)5.x² = 125

g)6.x² = 384

Answer 1

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a)

${2.x}^{2} = 72 \\ {x}^{2} = \frac{72}{2} \\ {x}^{2} = 36 \\ x = \frac{+}{} \: \sqrt{36} \\ x = \frac{+}{} \: 6$

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b)

${2.x}^{2} = 50 \\ {x}^{2} = \frac{50}{2} \\ {x}^{2} = 25 \\ x = \frac{+}{} \: \sqrt{25} \\ x = \frac{+}{} \: 5$

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c)

${3.x}^{2} = 12 \\ {x}^{2} = \frac{12}{3} \\ {x}^{2} = 4 \\ x = \frac{+}{} \: \sqrt{4} \\ x = \frac{+}{} \: 2$

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d)

${3.x}^{2} = 243 \\ {x}^{2} = \frac{243}{3} \\ {x}^{2} = 81 \\ x = \frac{+}{} \: \sqrt{81} \\ x = \frac{+}{} \: 9$

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e)

${3.x}^{2} = 300 \\ {x}^{2} = \frac{300}{3} \\ {x}^{2} = 100 \\ x = \frac{+}{} \: \sqrt{100} \\ x = \frac{+}{} \: 10$

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f)

${5.x}^{2} = 125 \\ {x}^{2} = \frac{125}{5} \\ {x}^{2} = 25 \\ x = \frac{+}{} \: \sqrt{25} \\ x = \frac{+}{} \: 5$

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g)

${6.x}^{2} = 384 \\ {x}^{2} = \frac{384}{6} \\ {x}^{2} = 64 \\ x = \frac{+}{} \: \sqrt{64} \\ x = \frac{+}{} \: 8$