Which of the following points represents the x-intercepts of the quadratic equation y = x2 + 9x?
Question
Which of the following points represents the x-intercepts of the quadratic equation
( y = x^2 + 9x \ ?
Solution
The x-intercepts of a quadratic equation are the values of x when y = 0.
So, to find the x-intercepts of the equation y = x^2 + 9x, we set y = 0 and solve for x:
0 = x^2 + 9x
This is a quadratic equation, and we can solve it by factoring:
0 = x(x + 9)
Setting each factor equal to zero gives the solutions x = 0 and x = -9.
So, the x-intercepts of the equation y = x^2 + 9x are the points (0, 0) and (-9, 0).
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