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To find the x-intercepts of a quadratic function, we need to set the function equal to zero and solve for x.
So, for the function f(x) = x² - 5x - 6, we have:
x² - 5x - 6 = 0
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To factor this quadratic equation, we need to find two numbers whose product is -6 and whose sum is -5. These numbers are -6 and +1.
So, we can write:
x² - 5x - 6 = (x - 6)(x + 1) = 0
Setting each factor equal to zero, we get:
x - 6 = 0 or x + 1 = 0
Solving for x, we get:
x = 6 or x = -1
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Therefore, the x-intercepts of the quadratic function f(x) = x² - 5x - 6 are x = 6 and x = -1.
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