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

Answer:

$x = \frac{-(-2) \± \sqrt{(-2)^2 - 4*1*-3}}{2*1}$

Step-by-step 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:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

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:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-2) \± \sqrt{(-2)^2 - 4*1*-3}}{2*1}$