Question

Solve 2x²+x-4 = 0.
²+1/2
1
2
x² +
23
x + -2
x + 2

Answer 1

`x = (-1 \pm √(33))/(4)`

Explanation:

Hello!

We can solve the quadratic by using the Quadratic Formula.

Standard form of a Quadratic:
`ax^2 + bx +c = 0`

Quadratic Formula:
`x = (-b \pm √(b^2 - 4ac))/(2a)`

Given our equation:
`2x^2 + x - 4 = 0`

• a = 2
• b = 1
• c = -4

Plug in the values into the quadratic formula to solve.

Solve the quadratic

• 
  `x = (-b \pm √(b^2 - 4ac))/(2a)`
• 
  `x = (-1 \pm √(1^2 - 4(2)(-4)))/(2(2))`
• 
  `x = (-1 \pm √(1 + 32))/(4)`
• 
  `x = (-1 \pm √(33))/(4)`

The solution to the quadratic is
`x = (-1 \pm √(33))/(4)`.