Fill in the blanks so that the resulting statement is true 4

Fill in the blanks so that the resulting statement is true. 4(x^2+6x)+3(y^24y)=55, complete the square on x by adding _____ within the first parentheses. Complete the square on y by adding ____ within the second parentheses. Thus, add _____ to the right side of the equation.

Solution

First paranthese fill by adding 9

Second paranthese fill by adding 4

Final add 9+4 = 13 to 55 we get

total sum = 55+13=68 (right side )