10th grade level LT1

36

AE / AD = AB / AC

51 / 51 + 17 = x / x + 12

51 / 68 = x / x + 12

51 ( x + 12) = 68x (After cross multiplication)

51x + 612 = 68x

612 = 68x - 51x

612 = 17x

x = 612/17 = 36

associative property of multiplication

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.