Question

What are the solutions to the equation x2 - 4x = -1?​

Answer 1

x=
`2-√(3)` and x=
`2+√(3)`

Explanation:

- transfer the -1 to the other side so that the equation reads as
`x^(2) -4x+1`

- factor! think about what numbers add -4 but also multiply to be 1

- you may then realize that there are no numbers with those characteristics

- since that is the case, we have to use the quadratic formula, which is:

`\frac{-b+\sqrt{b^(2)-4ac }}{y}` and
`\frac{-b-\sqrt{b^(2)-4ac }}{y}`

- the equation is shown as
`a^(2)+b^(2)=c^(2)`

- using the numbers that correspond with those lettered values, plug it in the quadratic formulas