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lions [1.4K]
3 years ago
15

Which of the following constants can be added to x2 - 3x to form a perfect square trinomial?

Mathematics
1 answer:
maxonik [38]3 years ago
4 0

ANSWER

2 \frac{1}{4}

EXPLANATION

We want to find the constant that must be added to

{x}^{2}  - 3x

to form a perfect square.

Comparing the given expression to

a{x}^{2}  + bx + c

we have

a=1 , b=-3 , and c=0.

We need to add

{( \frac{b}{2a} })^{2}

We substitute the values to get,

{( \frac{ - 3}{2(1)} })^{2}  =  \frac{9}{4}

We change this to mix numbers to get,

2 \frac{1}{4}

The last choice is correct.

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