SOLUTION: Use the discriminant to determine whether the following equations have real solutions:0.0134x� + 0.0414 x + 0.0304 = 0

Question 1047203: Use the discriminant to determine whether the following equations have real solutions:0.0134x� + 0.0414 x + 0.0304 = 0
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
An equation of the form ,
with real numbers , , and ,
where is called a quadratic equation.
is a quadratic equation.
There is a formula to find the solutions to a quadratic equation, called the quadratic formula:
.
The expression that is under the square root is called the determinant.
The result of the quadratic formula is one or two real numbers if and only if
the determinant is not negative:
.
(If there is only one solution; if there are two different real solutions).
In the case of the quadratic equation ,
,
, and
, so
,
so there will be 2 real solutions.
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