Word problem involving multiple rates
A swimming pool holds
liters of water. The pool has two
drainage pipes. When the pool is completely full, the first pipe alone can
empty it in
minutes, and the second pipe alone can empty it
in
minutes. When both pipe
Finding the roots of a quadratic equation with leading coefficient 1
Solve for
.
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution."
One way to find the solutions of a quadratic equation is to fa
Square root multiplication: Advanced
Simplify.
We first simplify the square root expressions.
Then, we simplify their product as follows.
The answer is
.
Square root multiplication: Advanced
Simplify.
We first simplify the square root expressions.
Then, w
Solving an equation written in factored form
Solve.
(If there is more than one solution, separate them with commas.)
For a product of expressions to equal
equal
, at least one of the expressions must
.
For example,
if and only if
or
In the current problem
Midpoint of a line segment in the plane
Find the midpoint
points
=
of the line segment joining the
and
=
.
Figure 1
The midpoint of the line segment joining the
points
and
is given by the following formula.
So here is the midpoint of the line segment
join
Factoring out a monomial
from a polynomial:
Multivariate
"Factor".
Factor the following
expression.
We first find the GCF of
and
The GCF is .
We then factor out the GCF using the distributive property.
Here is the answer.
.
Factoring a product of a quadra