How do you answer this?
2 Answers
Explanation:
Using complete the square:
Half term of
Put inside bracket and square it, adding on the constant.
Take away the squared number of the term of
Collect like terms
This is the completed the square format, but now we solve.
Add
Get rid of the squared bracket, by square rooting
Remember the
Add 4
This means the answer will be either
Explanation:
#"solve using the method of "color(blue)"completing the square"#
#x^2-8x-3=0#
#• " the coefficient of the "x^2" term must be 1 which it is"#
#• " add/subtract "(1/2"coefficient of the x-term")^2" to"#
#x^2-8x#
#x^2+2(-4)xcolor(red)(+16)color(red)(-16)-3=0#
#rArr(x-4)^2-19=0#
#rArr(x-4)^2=19#
#color(blue)"take the square root of both sides"#
#sqrt((x-4)^2)=+-sqrt19larrcolor(blue)"note plus or minus"#
#rArrx-4=+-sqrt19#
#"add 4 to both sides"#
#rArrx=4+-sqrt19larrcolor(red)"exact values"#