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disa [49]
3 years ago
13

What number should be added to both sides of the equation to complete the square?

Mathematics
2 answers:
omeli [17]3 years ago
4 0
-6. its to make the equation equal
SCORPION-xisa [38]3 years ago
3 0

Answer:

The number that is added both side to make the equation a perfect square is

\frac{9}{4}

Step-by-step explanation:

The given equation is :x^{2} +3x=6

The equation is of the form ax^{2} +bx+c=0

To solve the equation by completing a square we take half of b term and square it .

This is added to both sides.

Comparing the equations we have b=3 .

We take half of 3 and square it that is :

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

So      \frac{9}{4} isadded to both side to complete the square .

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