Question

What is the answer?
x^2 + 4x - 6 = 0

Answer 1

First we have to find
`\Delta` from the equation
`b^(2) -4ac` where a, b and c are consecutive coefficients of the equation. In this case:
`a=1, b=4, c=-6`


`\Delta =4^2-4*(-6)=16+24=40`,

Later we will need to use
`√(\Delta)` sofor us
`√(40)`. It can be then simplified to
`2 √(10)`.

Then we use quadratic formula
`x=(-b\pm √(\Delta) )/(2a)` to see what are the options for x.


`x=(-4\pm 2√(10))/(2)`

`x=- 2 \pm √(10)`

The answer for your question:

`x=- 2 + √(10)` or
`x=- 2 - √(10)`