Question

Read is solving the quadratic equation 0 equals X over two minus 2X -3 using the quadratic formula which shows the correct substitution of the values ABC into the quadratic formula quadratic formula X equals negative B+

Answer 1

`x = (-(-2) \± √((-2)^2 - 4*1*-3))/(2*1)`

Explanation:

Given

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

Required

The correct quadratic formula for the above

A quadratic equation is represented as:

`ax^2 + bx + c = 0`

And the formula is:

`x = (-b \± √(b^2 - 4ac))/(2a)`

So, we have:

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

Rewrite as:

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

By comparison:

`a= 1; b = -2; c = -3`

So, we have:

`x = (-b \± √(b^2 - 4ac))/(2a)`

`x = (-(-2) \± √((-2)^2 - 4*1*-3))/(2*1)`