Question

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

Answer 1

Answer x=2/3, -1
Option B

Explanation:

Answer 2

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

Explanation:

Equation:

`6x {}^(2) + 2x = 4`

Solution:

We know that,

`\rm \: Quadratic \: formula (x)=\cfrac{-b\pm√(b^2-4ac)}{2a}`

According to the problem,

• a = 6
• b = 2
• c = -4

Plugging them on the formulae,we obtain,

• 
  `x = \cfrac{ - 2 \pm \sqrt{ 2 {}^(2) - 4 \{6 * ( - 4) \} } }{2 * 6}`

• 
  `x = \cfrac{ - 2 \pm \: \sqrt{4 - 4 \{ - 24 \} } }{12}`

• 
  `x = \cfrac{ - 2 \pm \: 10 }{12}`

• 
  `x = \cfrac{ - 1 \pm5}{6}`

• 
  `\boxed{x = \cfrac{2}{3} \: \rm or - 1}`

Choice B is accurate.