Question

x(2x-3)-3(5-x)=83
2(2x+1)+15x=36-6x
x2-3x=0
4(2x-1)+15=6-2(x-5)
5(x-6)+30=3(4x-1)
x²-18x+80=
3x-2 - x-3=0

Answer 1

Respuesta:

Explicación paso a paso:

resolvemos

a)

x(2x - 3) - 3(5 - x) = 83

2x² - 3x - 15 + 3x = 83

2x² - 15 = 83

2x² = 83 + 15

2x² = 98

x² = 98/2

x² = 49

x = √49

x = ± 7

tiene dos soluciones

x₁ = 7

x₂ = -7

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b)

2(2x+1)+15x=36-6x

4x + 2 + 15x = 36 - 6x

19x + 2 = 36 - 6x

19x + 6x = 36 - 2

25x = 34

x = 34/25

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c)

x²- 3x=0

x(x - 3) = 0

x = 0        ,         x-3 = 0

                         x = 3

las soluciones son 0 , 3

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d)

4(2x-1)+15=6-2(x-5)

8x - 4 + 15 = 6 - 2x + 10

8x + 11 = 16 - 2x

8x + 2x = 16 - 11

10x = 5

x = 5/10

x = 1/2

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e)

5(x-6)+30=3(4x-1)

5x - 30 + 30 = 12x - 3

5x = 12x - 3

3 = 12x - 5x

3 = 7x

x = 3/7

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f)

x²-18x+80=0

x           - 8

x           - 10

(x - 8).(x - 10) = 0

igualamos a cero cada factor

x-8 = 0

x₁ = 8

x - 10 = 0

x₂ = 10

las soluciones son 8 , 10

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g)

3x-2 - x-3=0

2x -5 = 0

2x = 5

x = 5/2

x = 2,5