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What is the missing constant term in the perfect square that starts with
x^(2)+18 x ?

What is the missing constant term in the perfect square that starts with $x^{2}+18x$ ?

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Solve a quadratic equation by completing the square

Full solution

Q. What is the missing constant term in the perfect square that starts with

x^{2}+18x

?

Finding the Perfect Square Trinomial: To complete the square for the expression $x^2 + 18x$ , we need to find a number that, when added to the expression, will create a perfect square trinomial. The formula to find this number is $(\frac{b}{2})^2$ , where $b$ is the coefficient of $x$ .
Calculating the Coefficient of $x$ : In our case, $b$ is $18$ . So we calculate $\left(\frac{$ $18$ }{ $2$ }\right)^ $2$ .
Squaring the Coefficient: $(\frac{18}{2})^2 = (9)^2 = 81$ .
Completing the Square: Therefore, the constant term that completes the square for the expression $x^2 + 18x$ is $81$ .

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