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Solve equation by using the quadratic formula. 6x^2 +2x =4?
A) x= 3/2, 1 B) x= 2/3, -1 C) x=3/2, -1 D) x=3/2, 0

Respuesta :

Answer:

Answer x=2/3, -1
Option B

Step-by-step explanation:

Itz5151

Answer:

B) x =( 2/3, -1)

Step-by-step explanation:

Equation:

[tex]6x {}^{2} + 2x = 4[/tex]

Solution:

We know that,

[tex] \rm \: Quadratic \: formula (x)=\cfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

According to the problem,

  • a = 6
  • b = 2
  • c = -4

Plugging them on the formulae,we obtain,

  • [tex]x = \cfrac{ - 2 \pm \sqrt{ 2 {}^{2} - 4 \{6 \times ( - 4) \} } }{2 \times 6} [/tex]

  • [tex]x = \cfrac{ - 2 \pm \: \sqrt{4 - 4 \{ - 24 \} } }{12} [/tex]

  • [tex]x = \cfrac{ - 2 \pm \: 10 }{12} [/tex]

  • [tex]x = \cfrac{ - 1 \pm5}{6} [/tex]

  • [tex]\boxed{x = \cfrac{2}{3} \: \rm or - 1}[/tex]

Choice B is accurate.

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