Question

Y=x^2+2x-3. what is the quadratic equation and identify its solution.

Answer 1

x=-3, and x=1

Explanation:

To solve for x you must set y to 0, since the solutions for x only exist when y is zero (the x intercepts)

0=x^2+2x-3

There are a couple of ways you can solve this quadratic equation

- by factoring

- by completing the square

- by the quadratic formula

Factoring is the simplest option in this case

the product of two numbers equals -3

the sum of the two numbers is 2

You can tell that the two numbers are 3 and -1

Now, you can factor the equation

(x+3)(x-1)=0

So the solutions are x=-3, and x=1