Question

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Answer 1

1) 9x^2 - 25 = 0
9x^2  = 25
x^2  = 25/9
x  = raiz de 25/9
x= 5/3

2) x^2 + 2 = 6
x^2  = 6-2
x^2  = 4
x  = raiz de 4
x = 2

3) 3x^2 + 17x + 18 = -2
3x^2 + 17x + 20= 0
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4) 23x^2 = 2(200-x^2)
23x^2 = 400-2x^2
23x^2 - 2x^2 = 400
21x^2 = 400
x^2 = 400/21
x^2 = 400/21

5) x^2 = 2x -1
x^2 - 2x + 1 = 0
es un binomio cuadrado
(x-1)^2
x = 1

6) 2x - 4 = x^2 - 2x
-x^2 + 2x + 2 x -4 = 0
-x^2 + 4x -4 = 0
-1(x^2 - 4x +4 )= 0
es un binomio cuadrado
-1*(x-2)^2 = 0
x = 2

7) x^2 + (7-x)^2 = 25
x^2 + 49  - 14 x + x^2 - 25 = 0
2x^2 - 14 x + 24 = 0
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8) x^2 + (x+2)^2 = 580
x^2 + x^2 + 4x +4 - 580 = 0
2x^2 + 4x - 576 = 0
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9)
x - 2/(x+1) = 5/(x+1) - 7
(x*(x+1) - 2)/(x+1) = 5-(7(x+1))/(x+1)
x^2+x - 2 = 5-(7x+7)
x^2 + x - 2 + 7x + 7= 5
x^2 + 8 + 5= 5
x^2 + 8 + 5 - 5= 0
x^2 + 8 = 0
x = -+(raiz de 8 )* i

10) 16x - 8 = -1/x
x * (16x - 8) = -1
16 x^2 - 8x + 1 = 0
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