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