Solve x2 – 8x = 20 by completing the square. Which is the solution set of the equation?

Step-by-step explanation:

x² – 8x = 20 ⇌ x² – 2(4)x  = 4 + 16 ⇌ x² – 2(4)x - 16 = 4 ⇌ (x - 4)² = 4

⇌ x - 4 = 2 or x - 4 = -2 ⇌ x = 6 or x = 2

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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step-by-step explanation: