Question

Please don’t skip over me

show all work

Answer 1

1 + i
`√(5)`, 1 - i
`√(5)`

Explanation:

A quadratic function is f(x) = a
`x^(2)` + bx + c

Your function with the given values is f(x) = 2
`x^(2)` - 4x + 12

To solve a quadratic function, you can use the quadratic formula

(-b +/-
`\sqrt{b^(2) - 4ac}`) / 2a

Fill in with your given values.

(4 +/-
`\sqrt{(-4^(2) - 4 (2) (12)}` ) / 2(2)

Simplify

(4 +/-
`√(16 - 96)`) / 4

(4 +/-
`√(-80)` ) / 4

Because there is a negative number under the square root making it an imaginary number put an i by it.

(4 +/- i
`√(80)`) / 4

80 is divisible by 16, a perfect square. 80 / 16 = 5

(4 +/- 4i
`√(5)`) / 4

Divide by 4

1 +/- i
`√(5)`

Your teacher may want you to list your radical without the i and just as
`√(-5)`, so keep that in mind.

Don't forget to list it both as addition and subtraction.