# Which system of equations can be graphed to find the solution(s) to x^{2 }= 2x + 3?

**Solution:**

The given equation can be written as:

x^{2 }- 2x - 3 = 0

This equation can be factorized and that will only provide us the values of x which will be actually the zeros of the equation.

In other words the values of x which when substituted will return the value of function as zero.

On examining the equation it is seen that it can be factorised as follows.

x^{2} - 2x - 3 = 0

x^{2} - 3x + x - 3 = 0

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

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

The roots of the equation are 3 and -1.

The factors of the equation therefore are: (x - 3) and (x + 1).

## Which system of equations can be graphed to find the solution(s) to x^{2 }= 2x + 3?

**Summary:**

The system of equations can be graphed to find the solution(s) to x^{2 }= 2x + 3 are x - 3 = 0 and x + 1 = 0.

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