Answer:
f(x) = x^2 (x + 7i)(x - 7i)
Step-by-step explanation:
Factoring out x^2 gives ...
f(x) = x^2(x^2 +49)
The factor with 49 can be considered to be the difference of two squares, where one of the squares is -49. Then its square root is ±7i, and the factorization of that term is ...
x^2 +49 = (x +7i)(x -7i)
So, the overall factorization of f(x) is ...
f(x) = x^2(x +7i)(x -7i)
Answer:
s = 2 cm
Step-by-step explanation:
Given the following data;
Area of equilateral triangle = √3 cm
Mathematically, the area of an equilateral triangle is given by the formula;
A = √3 * s²/4
Where, s represents the sides of length.
Substituting into the formula, we have;
√3 = √3 * s²/4
Dividing both sides by √3, we have;
1 = s²/4
Cross-multiplying, we have;
4 = s²
Taking the square root of both sides, we have;
s = √4
s = 2 cm
Example:
This suggests two solutions,
and
.
However, upon plugging these solutions back into the equation, you get
which checks out, but
does not because
is defined only for
(assuming you're looking for real solutions only). So, we call
an extraneous solution, and the complete solution set (over the real numbers) is
.
Step-by-step explanation:
it's late but I hope it helps :)
imagine that the > symbol is just an equal sign
so for example
x+2>4
will look like
x+2=4
and you solve normally
×=2
now we bring the symbol back
x>2
but if you multiple or divide by a negative the sign flips
so say you have
-2x>4
make it into
-2x=4
solve
x=-2
but instead of >
you put
x < -2
Answer:
Step-by-step explanation:
