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nikklg [1K]
3 years ago
11

How many real solutions does a quadratic equation have if its discriminant is negative?

Mathematics
1 answer:
torisob [31]3 years ago
5 0
If the discriminant of a quadratic equation is negative, then the equation has no real solution.
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Round the number 246.13687 to the nearest thousandth
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Scholarship A is worth $3000 and costs $10 to apply. Scholarship B is worth $4000 and costs $25 to apply. You have a 5% chance o
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Which value must be added to the expression x^2+x to make it a perfect-square trinomial? A.1/4 B.1/2 C.1 D.4
barxatty [35]

Hello from MrBillDoesMath!

Answer:

Choice A, 1/4


Discussion:

Consider the perfect square

        (x + a)^2 =   x^2 + (2a)x + a^2

The constant term (a^2) equals  1/2 the coefficient of x (i.e.  2a), squared.

Let's apply this idea to x^2 + x

x^2 + x =                                                    => as 2 * 1/2 = 1

x^2 + ( 2 * 1/2)x =

( x^2 + (2* 1/2)x +  ( 1/2) ^2 )  - (1/2) ^2  =    

    as constant term to add is 1/2 coefficient of x (that is, 1/2)  and

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(x + 1/2) ^ 2  - (1/2)^2

In other words add the constant (1/2)^2 = 1/4, which is Choice A.


Thank you,

MrB

7 0
3 years ago
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