Question

Qual o valor da equação x+3 = 3x+1
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x-1 x+3​

Answer 1

Explicação:

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$\dfrac{x + 3}{x - 1} = \dfrac{3x + 1}{x + 3}$

(x+3)(x+3)=(3x+1)(x-1)

(x+3)(x+3)-(3x+1)(x-1)=0

(x+3)²-(3x²-3x+x-1)=0

x²+6x+9-(3x²-2x-1)=0

x²+6x+9-3x2+2x+1=0

-2x²+8x+10=0

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a=-2

b=8

c=10

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∆=b²-4ac

∆=8²-4×-2×10

∆=64+80

∆=144

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-b±√∆/2a

-8±√144/2×-2

-8±12/-4

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x¹=-8+12/-4=4/-4=-1

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x²=-8-12/-4=-20/-4=5