The values that make an equivalent number sentence after completing the square is 81 and 125
What is a quadratic equation?
A quadratic equation is an algebraic equation with the power of its variable as 2.
Analysis:
completing the square of the equation [tex]x^{2}[/tex] +18x = 44, we find half the coefficient of x which is 9 and then add the square on both sides of the equation.
[tex]x^{2}[/tex] +18x + [tex](9)^{2}[/tex] = 44 + [tex](9)^{2}[/tex]
[tex]x^{2}[/tex] +18x + 81 = 44 + 81
[tex]x^{2}[/tex] +18x + 81 = 125
comparing the equations, the values are 81 and 125
In conclusion, the values that make an equivalent number sentence after completing the square are 81 and 125 in that order.
Learn more about quadratic equation: brainly.com/question/1214333
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