Megan wants to find the minimum value of the function y=x^2-10x+3 . She begins to convert the equation into vertex form by completing the square. Megan stops at the step below.y=(x+a)^2 +3 + bWhat number should Megan use to replace the a in this equation?-1025-5100

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03-11-2022
Mathematics

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Megan wants to find the minimum value of the function y=x^2-10x+3 . She begins to convert the equation into vertex form by completing the square. Megan stops at the step below.y=(x+a)^2 +3 + bWhat number should Megan use to replace the a in this equation?-1025-5100

Sagot :

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AzhariaL87732 AzhariaL87732 · Answer 1 · 2022-11-03T22:53:11-04:00

Okay, here we have this:

Considering the provided function, we are going to convert it to vertex form by completing the square to identify what number should Megan use to replace the a in the equation, so we obtain the following:

Then we will first write the function in the form: x^2+2ax+a^2. We have:

2a=-10

a=-10/2

a=-5

Then:

[tex]\begin{gathered} x^2-10x+3+(-5)^2-(-5)^2 \\ =(x-5)^2+3-(-5)^2 \end{gathered}[/tex]

Finally we obtain that Megan should use "-5" to replace the a in this equation.

Megan wants to find the minimum value of the function y=x^2-10x+3 . She begins to convert the equation into vertex form by completing the square. Megan stops at the step below.y=(x+a)^2 +3 + bWhat number should Megan use to replace the a in this equation?-1025-5100

Sagot :

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