If you are given the length of the hypotenuse and one leg, does it matter whether you solve for a or b? Explain.

No it does not matter if you were given a or b because with the equation a²+b²=c² as long as you can substitute in two values you can solve for the unknown value. For example if you had triangle STU having hypotenuse as 41 and value a as 9 you would substitute in the values resulting in the equation 9²+b²=41² then you would solve the exponents 81+b²=1681 then you would subtract 81 having the equation now as b²=1600 then you would √b²=√1600 resulting in

b=40

you could solve that equation the same way if you had b=40 and c=42

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.