Question

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Answer 1

Respuesta:

a) x = -18 x = 15

b) a = -12 a = 11

c) n = -17/3 n = 6

Explicación paso a paso:

a) x(x+3) = 270 => x² + 3x - 270 = 0

x² + 3x - 270 = 0

x 18 = 18x

x -15 = -15x

3x

x + 18 = 0 => x = -18

x - 15 = 0 => x = 15

b) a² + a = 132 => a² + a - 132 = 0

a² + a - 132 = 0

a 12 = 12a

a -11 = -11a

a

a+12=0 => a = -12

a-11 = 0 => a = 11

c) 3n² - n = 102 => 3n² - n - 102 = 0

3n² - n - 102 = 0

3n 17 = 17n

n -6 = -18n

- n

3n + 17 = 0 => n = - 17/3

n-6 = 0 => n = 6

Comprobación:

a) 15(15+3) = 270

15 x 18 = 270

270 = 270

b) 11² + 11 = 132

121 + 11 = 132 => 132 = 132

c) 3(6)² - 6 = 102

3(36) - 6 = 102 => 108 - 6 = 102

102 = 102

RPTA:

a) x = -18 x = 15

b) a = -12 a = 11

c) n = -17/3 n = 6