How to find the x-intercept of a quadratic function?
Answer: To find the x-intercept of a line, we substitute y = 0 in the equation and find the corresponding value of x.
Let us proceed step by step.
There are few steps to determine the x-intercept of a quadratic function.
- Step 1: Put the value of y as 0.
- Step 2: Solve the equation and get the two roots x1 and x2.
- Step 3: Write x-intercept as (x1 , 0) and (x2 , 0)
Let's understand the problem with the help of an example.
Let's find the x-intercepts of y = x2 - 5x + 6
To find the x-intercept, put y = 0.
Hence, x2 - 5x + 6 = 0
x2 - 5x + 6 = (x - 3) (x - 2) = 0
Therefore, x1 = 3 and x2 = 2.
The x-intercepts of y = x2 - 5x + 6 is (2, 0) and (3, 0).