How do you solve x^2+8x-10=0 by completing the square?
1 Answer
Mar 19, 2018
Explanation:
"using the method of "color(blue)"completing the square"
• " 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)-10=0
rArr(x+4)^2-26=0
rArr(x+4)^2=26
color(blue)"take the square root of both sides"
rArrx+4=+-sqrt26larrcolor(blue)"note plus or minus"
"subtract 4 from both sides"
rArrx=-4+-sqrt26larrcolor(red)"exact solutions"