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SOLUTION: I am doing quadratic equations, the problem is {{{ X^2-x-12 }}} I understand most of it except for when I get to where the problem says x = -1 sqrt(47)/2 I don't know what to do wi
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Question 366738
:
I am doing quadratic equations, the problem is
I understand most of it except for when I get to where the problem says x = -1 sqrt(47)/2 I don't know what to do with the square root symbol. I know how to find the vertex but I don't have the roots to graph the parabola, If some one could help me with this I would be grateful.
Found 2 solutions by
Alan3354, jim_thompson5910
:
Answer by
Alan3354(47455)
(
Show Source
):
You can
put this solution on YOUR website!
You didn't show an equation. All equations have an equal sign.
If you mean
you missed a sign somewhere, it's sqrt(49).
-----------
Solved by
pluggable
solver:
SOLVE quadratic equation (work shown, graph etc)
Quadratic equation
(in our case
) has the following solutons:
For these solutions to exist, the
discriminant
should not be a negative number.
First, we need to compute the discriminant
:
.
Discriminant d=49 is greater than zero. That means that there are two solutions:
.
Quadratic expression
can be factored:
Again, the answer is: 4, -3. Here's your graph:
Answer by
jim_thompson5910(33401)
(
Show Source
):
You can
put this solution on YOUR website!
Start with the given equation.
Notice that the quadratic
is in the form of
where
,
, and
Let's use the quadratic formula to solve for "x":
Start with the quadratic formula
Plug in
,
, and
Negate
to get
.
Square
to get
.
Multiply
to get
Rewrite
as
Add
to
to get
. This is probably where you made your mistake.
Multiply
and
to get
.
Take the square root of
to get
.
or
Break up the expression.
or
Combine like terms.
or
Simplify.
So the solutions are
or
So the roots (or x-intercepts) are (4,0) and (-3,0)