Answered

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Find the equation that results from completing the square into the following equation X squared -14 X +40 equals zero

Find The Equation That Results From Completing The Square Into The Following Equation X Squared 14 X 40 Equals Zero class=

Sagot :

Given:

The equation is

[tex]x^2-14x+40=0[/tex]

Required:

Find the equation that results from completing the square into the given equation.

Explanation:

The given equation is:

[tex]x^{2}-14x+40=0[/tex]

Subtract 40 on both sides.

[tex]\begin{gathered} x^2-14x+40-40=0-40 \\ x^2-14x=-40 \end{gathered}[/tex]

Add 49 on both sides.

[tex]\begin{gathered} x^2-14x+49=-40+49 \\ x^2-14x+49=9 \end{gathered}[/tex]

Use the following formula:

[tex]a^2-2ab+b^2=(a-b)^2[/tex][tex](x-7)^2=9[/tex]

Final answer:

The second option is the correct answer.

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