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Michelle wants to solve the following quadratic equation by completing the square. x2 -8x-7=0 Michelle will need to transform the equation x2 - 8x-7=0 into the form (x - p) = 9 Determine the values of pand q. Enter the value of each in the appropriate box. Enter an integer or fraction in lowest terms. Enter one value per box.

Sagot :

We want to solve the quadratic equation:

[tex]x^2-8x-7=0[/tex]

by completing the square. For doing so, we will add a number to both sides for getting a square number at the left side. As the number at the side of the x is -8, when we divide by 2, we get:

[tex]\frac{8}{2}=4[/tex]

We want to convert the number -7 to 16, so we will add 26 both sides:

[tex]\begin{gathered} x^2-8x-7+23=23 \\ x^2-8x+16=23 \\ (x-4)^2=23 \end{gathered}[/tex]

And as we want to transform into the form:

[tex](x-p)^2=q[/tex]

This means that p=4 and q=23.