Joseph is solving the equation x squared plus 8 x minus 4 equals 0 using the technique of completing the square.
x squared plus 8 x minus 4 equals 0 line break x squared plus 8 x plus question mark equals 4 plus question mark
What number should Joseph add to both sides of the equation to complete the square, and why?
(1 point)
Responses
He should add 4 to both sides because Start Fraction 8 over 2 End Fraction equals 4.
He should add 4 to both sides because Image with alt text: Start Fraction 8 over 2 End Fraction equals 4 .
He should add 4 to both sides because left-parenthesis Start Fraction 4 over 2 End Fraction right-parenthesis squared equals 4.
He should add 4 to both sides because Image with alt text: left-parenthesis Start Fraction 4 over 2 End Fraction right-parenthesis squared equals 4 .
He should add 16 to both sides because Start Fraction 16 over 2 End Fraction equals 8.
He should add 16 to both sides because Image with alt text: Start Fraction 16 over 2 End Fraction equals 8 .
He should add 16 to both sides because left-parenthesis Start Fraction 8 over 2 End Fraction right-parenthesis squared equals 16.