Question

D) 4x (x + 6) + x = 5x +1
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Answer 1

Resposta:

Explicação passo-a-passo:

D)

4x.(x + 6) + x = 5x +1

4x^2 + 24x+x= 5x+1

4x^2 + 25x = 5x+1

4x^2+25x-5x-1=0

4x^2 + 20x - 1 = 0

A = 4; b = 20; c= -1

∆= b^2 - 4.a.c

∆ = 20^2 - 4.4.(-1)

∆= 400+16

∆= 416

√∆= √416= √16.√26

416:2

208:2

104: 2

52: 2

26: 2

13: 13

1

2^4 . 2 . 13 = √16 . √26= 4.√26

X = [-b+/-√∆]/2a

X = (-20+/- 4√26)/2.4

X= -20/8 (:4)/(:4) +/- 4√26/8(:4)/(:4)

X = -5/2 +/- 1√26/2

X = (-5+/- √26)/2

R.:

x'= (-5+√26)/2

x" = (-5-√26)/2