Step-by-step explanation:
Consider x⅓ =a
then the following expression can be written as
a²+a-2
a²+2a-a-2
a(a+2)-1(a+2)
(a+2)(a-1)
a= -2 or, a= 1
Putting the value of a
x⅓ = -2 and, x⅓ =1
We will determine the length of the segment DF as follows:
*We have that the triangles are similar, and therefore the following is true:
Now, we solve for DF:
From this, we have that the length of the segment DF equals 2.68 units.
Use Pythagorean Theorem:
c = sr (a^2 + b^2) = sr (3^2 + 5.3^2)
= sr (9 + 28.09) = sr (37.09)
= 6.09 = 6.1
The quadratic formula is
. With the values from this equation plugged in, it looks like this:
The solution is x = - 3/2