The two smaller numbers in a Pythagorean triad are 200 and 150.

What is the third and largest number in the triad?

250 = c

Step-by-step explanation:

We have to use the theorem to solve this!

a^2 + b^2 = c^2 which is what we want to find

So..

200^2 + 150^2 = c^2

40000 + 22500 = 62500

62500 = c^2

Square root both sides to maintain equality,

And we get

250 = c

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.

answer is x<