Question

Solving quadratic equations using the quadratic formula.

Answer 1

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Answer 2

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Explanation:

Hello!

Standard Form of a Quadratic:
`ax^2 + bx +c`

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

To solve a quadratic using the quadratic formula, you have to plug values in for "a", "b", and "c" into the quadratic equation. Let's go over an example question.

Question:
`2x^2 +4x+2`

Solution:

Determine the values of "a", "b", and "c".

• a = 2
• b = 4
• c = 2

Plug it into the quadratic equation to solve.

Solve:

• 
  `x = (-b \pm√(b^2-4ac))/(2a)`
• 
  `x = (-(4) \pm√((4)^2-4(2)(2)))/(2(2))`
• 
  `x = (-4 \pm√(16 - 16))/(4)`
• 
  `x = (-4 \pm√(0))/(4)`
• 
  `x = (-4)/(4)`
• 
  `x = -1`

The value of x is -1.