Answered

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if using the method of completing the square to solve the quadratic equation x^2-20x+24=0x
2
−20x+24=0, which number would have to be added to "complete the square"?

Sagot :

Considering the equation of the parabola in vertex form, it is found that a number of -100 would have to be added to complete the square.

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by:

[tex]y = a(x - h)^2 + k[/tex]

In which a is the leading coefficient.

In this problem, the equation is:

[tex]x^2 - 20x + 24[/tex]

Placing it in vertex form, we would have:

[tex](x - 10)^2 + 24 + c[/tex]

Applying the square of the subtraction:

[tex](x - 10)^2 = x^2 - 20x + 100[/tex]

Hence, a number of -100 would have to be added to complete the square.

More can be learned about equation of a parabola in vertex form at https://brainly.com/question/17987697

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