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The other roots of the equation are obtained either by changing of cube root or, equivalently, by multiplying the cube root by a primitive cube root of unity, that is . This formula for the roots is always correct except when p = q = 0 , with the proviso that if p = 0 , the square root is chosen so that C ≠ 0 .
Hair transplantation is a surgical hair loss treatment that involves extracting hair follicles from the sides and back of your head and transplanting them to areas with bald spots and thin hair.
Female pattern hair loss . Also known as androgenetic alopecia, female pattern hair loss (FPHL) will affect a whopping 40 percent of women by age 50, according to research. “This is a chronic ...
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The resolvent cubic R 3 (y) has a root of the form α 2, for some non-null rational number α (again, this can be determined using the rational root theorem). The number a 2 2 − 4 a 0 is the square of a rational number and a 1 = 0 .
There exists a general formula for finding the roots to quartic equations, provided the coefficient of the leading term is non-zero. However, since the general method is quite complex and susceptible to errors in execution, it is better to apply one of the special cases listed below if possible.