

Which system of equations can be graphed to find the solution(s) to x2 = 2x + 3?
Solution:
The given equation can be written as:
x2 - 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.
x2 - 2x - 3 = 0
x2 - 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 x2 = 2x + 3?
Summary:
The system of equations can be graphed to find the solution(s) to x2 = 2x + 3 are x - 3 = 0 and x + 1 = 0.
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