Step-by-step explanation:
x^3 is a perfect cube, 8 is a perfect cube, so we use difference of cubes.
Cube root of x^3 is x.
Cube root of 8 is 2
So
a=x
b= 2.
Set these equations equal to zero
If we do the discriminant, we get a negative answer so we would have two imaginary solutions,
Thus the only real root is 2.
If you want imaginary solutions, apply the quadratic formula.
and
Answer:
2500
Step-by-step explanation:
Let the first square number be 
then the next square number is 
.
The difference between these two consecutive numbers is 99.
This implies that:
We expand to get:
Simplify:
Divide both sides by 2
Therefore the value of the larger perfect number is
.
Answer:
The answer is 68 :D
Step-by-step explanation:
(Just read the whole comment ;P)
Answer:11
Step-by-step explanation:8+5+2+3=18 5+2=7 18-7=11
Answer:
15/2
Step-by-step explanation:
5 3/4 - 1/6x = 4 1/2
move the variable to it's own side.
5 3/4 - 4 1/2 = 1/6x
change the subtracting side to have common denominators
5 3/4 - 4 2/4 = 1/6x
1 1/4 = 1/6 x
divide both sides by 1/6, same thing as multiplying both sides by 6 (reciprocal)
30/4 = x
reduce: 15/2 = x
