Lemma 1. let o be a nondecreasing function on [0, 0], continuous on (0, 0) with o(0) = 0, 0(00) = 0(0 - ), and 0(22) 0. if f and g are nonnegative, measurable functions on (22, f, p) and s, e, b are positive constants with b > 1 satisfying d ) ect 10% ba, f 581} s £p{9 > 1} for all i e (0,00), d (5) there exists a = ac,8,8,8 € (0,00) such that -blodhu e 0(g) s aeo(s). (6)

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

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