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is irrational.

Because it goes on forever. It has an infinite number of digits after the decimal point. It can't be expressed in the form p/q, where p=the numerator and q=the denominator. All rational numbers can be expressed in the form p/q.

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answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11