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quester [9]
3 years ago
15

Which value must be added to the expression x2 – 3x to make it a perfect-square trinomial?

Mathematics
2 answers:
strojnjashka [21]3 years ago
4 0

Answer:

n = 9/4

x2 – 3x + 9/4

Ksenya-84 [330]3 years ago
3 0

Answer:

n = 9/4

x2 – 3x + 9/4

Step-by-step explanation:

The discriminant, for an equation  0 = ax^2 + bx + c , is b^2 - 4ac.

When there are no solutions, the number given by the discriminant will be less than 0. When there are two solutions, the number given by the discriminant will be more than zero.

However, if there is but one solution, the number given by the discriminant will be 0. Therefore, we can determine the missing term in your equation by setting the discriminant to 0 and solving for c  , or the constant term, which is the one we don't know.

then a = 1, b =-3 and c =n

b^2 - 4ac = 0

(-3)^2 - 4 (a)(n) = 0

9 - 4n = 0

-4n = -9

n = 9/4

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