Question

Which expression correctly sets up the quadratic formula with x^2+1=2x-3

Answer 1

Given:

The quadratic equation is

`x^2+1=2x-3`

To find:

The expression that correctly sets up the quadratic formula with the given equation.

Solution:

We have,

`x^2+1=2x-3`

`x^2+1-2x+3=0`

`x^2-2x+4=0`

On comparing with
`ax^2+bx+c=0`, we get

`a=1,b=-2,c=4`

The quadratic formula is

`x=(-b\pm √(b^2-4ac))/(2a)`

Putting
`a=1,b=-2,c=4`, we get

`x=(-(-2)\pm √((-2)^2-4(1)(4)))/(2(1))`

Therefore, the required expression is
`(-(-2)\pm √((-2)^2-4(1)(4)))/(2(1))`.