SOLUTION: What is the value of the discriminant? 3x^2+10x-7=0 Also, what is the nature of the solutions? Are there 2 real solutions, 1 real solution, or 2 imaginary solutions?
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Question 222398
:
What is the value of the discriminant?
3x^2+10x-7=0
Also, what is the nature of the solutions? Are there 2 real solutions, 1 real solution, or 2 imaginary solutions?
Answer by
jim_thompson5910(35256)
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Computing the Discriminant
From
we can see that
,
, and
Start with the discriminant formula.
Plug in
,
, and
Square
to get
Multiply
to get
Rewrite
as
Add
to
to get
Since the discriminant is greater than zero, this means that there are two real solutions.
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