How do you solve x^2-5x-10=0 by completing the square?
2 Answers
"By the book":
when:
Explanation:
In that case we don't have any
"By the book":
If we check we can easily see:
Explanation:
color(blue)"to complete the square"
• " ensure the coefficient of the "x^2" term is 1 which it is"
• " add "(1/2"coefficient of the x-term")^2" to both sides"
rArrx^2+2(-5/2)xcolor(red)(+25/4)-10=0color(red)(+25/4)
rArr(x-5/2)^2=25/4+10=65/4
color(blue)"take the square root of both sides"
rArr(sqrt((x-5/2)^2)=+-sqrt(65/4)larrcolor(blue)"note plus or minus"
rArrx-5/2=+-sqrt65/2
rArrx=5/2+-sqrt65/2