A area do quadrado ABCD é igual a 121 cm quadrados. qual o valor de x? as medidas estao em cm. Medid.... Pergunta de ideia deMariaLuisa

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May 2020 2 102 Report

A area do quadrado ABCD é igual a 121 cm quadrados. qual o valor de x? as medidas estao em cm. Medidas: (3x + 5) x (3x + 5)

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helviotedesco

Verified answer

X = 2 CM

(3*2 + 5) * (3*2 + 5) => (6+5)*(6+5) => 11 * 11 = 121CM

4 votes Thanks 14

3478elc

  (3x + 5) x (3x + 5) = 121

9x² + 30x + 25 = 121

  9x² +  30x + 25 - 121 = 0

  9x² +  30x - 96 = 08

  Δ = 30² - 4.9.(-96) ==> 900 + 3456 ==> 4356

x = - 30 +/-√4356 ==> x = -30 +/- 66
2.9 18

x1 = - 30 + 66 ==> x1 = 2
18

x2 = - 30 - 66 ==> x1 = - 96 falso lado negativo
18 18

L = 3x + 5 ==> 3.(2) + 5 ==> L = 11

9 votes Thanks 28

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