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Nastasia [14]
3 years ago
7

Let x^2 +11x=3 ​.

Mathematics
2 answers:
Mashutka [201]3 years ago
5 0

We have been given an equation x^2 +11x=3. We are asked to complete the square for the given equation.

To complete the square for our given equation, we need to add the half the square of x term on both sides.

We can see that coefficient of x term is 11, so we need to add half the square of 11 on both sides.

(\frac{11}{2})^2  

Let us simplify (\frac{11}{2})^2.

\frac{11^2}{2^2}=\frac{121}{4}

Upon adding \frac{121}{4} on both sides, we will get:

x^2 +11x+\frac{121}{4}=3+\frac{121}{4}

Now we will make a common denominator for right side.

x^2 +11x+\frac{121}{4}=\frac{12}{4}+\frac{121}{4}

x^2 +11x+\frac{121}{4}=\frac{133}{4}

Therefore, our equation would be x^2 +11x+\frac{121}{4}=\frac{133}{4}.

tensa zangetsu [6.8K]3 years ago
3 0
The answer is x^2+11x+(121/4)=(143/4)

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