Respuestas
Explicación paso a paso:
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Respuesta:
a) (4x + 3)(4x – 3) – 4(3 – 2x)
2 = 3x b) 2x + 3(x – 4)2 = 37 + (x – 3)(x + 3)
c) x + 3
5 – (x – 1)2
4 = 5
4 x – (
x + 2
2 )
2
d) (x – 1)(x + 2)
12 – x – 3
3
= 1 + (x + 1)(x – 2)
6
a) 16x 2 – 9 – 4(9 + 4x 2 – 12x) = 3x
16x 2 – 9 – 36 – 16x 2 + 48x = 3x 8 48x – 3x = 45 8 45x = 45 8 x = 1
Solución: x = 1
b) 2x + 3(x 2 – 8x + 16) = 37 + x 2 – 9
2x + 3x 2 – 24x + 48 = 28 + x 2 8 2x 2 – 22x + 20 = 0
x 2 – 11x + 10 = 0 8 x = 11 ± 9
2 = 10
1
Soluciones: x1 = 10, x2 = 1
c) x + 3
5 – x
2 – 2x + 1
4 = 5x
4 – x
2 + 4x + 4
4
4x + 12 – 5x 2 + 10x – 5 = 25x – 5x 2 – 20x – 20
9x + 27 = 0 8 x = –3
Solución: x = –3
d) (x – 1)(x + 2) – 4(x – 3) = 12 + 2(x + 1)(x – 2)
x 2 + x – 2 – 4x + 12 = 12 + 2x 2 – 2x – 4
x 2 + x – 2 = 0 8 x = –1 ± 3
2 = 1
–2
Soluciones: x1 = 1, x2 = –2
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Explicación paso a paso: