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djverab [1.8K]
4 years ago
15

Find the zero of the function by rewriting the function in intercept form

Mathematics
1 answer:
Marat540 [252]4 years ago
4 0
Given a quadratic function
y = 4x² - 19x - 5
or i will write it as
4x² - 19x - 5 = y

Zero of the function is when y have the value of zero.
So the quadratic equation will be
4x² - 19x - 5 = y
4x² - 19x - 5 = 0

Now make the equation to intercept form by factorization
4x² - 19x - 5 = 0
(4x + 1)(x - 5) = 0   (this is intercept form)

Solution 1
4x + 1 = 0
4x = -1
x = -1/4

Solution 2
x - 5 = 0
x = 5

SUMMARY
-1/4 and 5 are zero function of f(x) = 4x² - 19x - 5
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