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Arada [10]
3 years ago
8

Algebraically determine the x-intercepts of this function. Please show work.

Mathematics
1 answer:
WINSTONCH [101]3 years ago
3 0
To determine x intercept, put y=0

<span>x^4 - 10x^2 + 9  = 0
</span>
<span>x^4 - 9x^2  - x^2 + 9 = 0

x^2(x^2 - 9) - 1(</span><span>x^2 - 9) = 0

(</span><span>x^2 - 9)(x^2-1) =0

x^2 - 9 = 0
⇒ x^2 = 9
⇒x = +3, -3

x^2 - 1 = 0
x^2 = 1
x = +1, -1

X intercepts are -3, -1, 1, 3

</span>
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