In solving the equation, [tex]x^2 -8x + 14 = 0[/tex], by completing the square, the step Jamal could take is:
D. [tex]\mathbf{x^2 -8x + 16 = -14 + 16}[/tex]
The equation [tex]x^2 -8x + 14 = 0[/tex], can be solved by applying the method of "completing the square".
This involves several steps.
For an equation as [tex]x^2 -8x + 14 = 0[/tex], the first step here is to move the number term (14) to the right side of the equation.
[tex]x^2 -8x + 14 - 14 = 0 - 14[/tex] (subtraction property of equality)
[tex]x^2 -8x = -14[/tex]
This next step is to square half of the coefficient of x, then add what you get to both sides of the equation.
Add 16 to both sides of the equation
[tex]x^2 -8x + 16 = -14 + 16[/tex]
From the options given, you observe that [tex]\mathbf{x^2 -8x + 16 = -14 + 16}[/tex] is one of the steps Jamal could take to complete the square.
Therefore, in solving the equation, [tex]x^2 -8x + 14 = 0[/tex], by completing the square, the step Jamal could take is:
D. [tex]\mathbf{x^2 -8x + 16 = -14 + 16}[/tex]
Learn more about completing the square here:
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