How do you solve using the completing the square method x^2 – 5x + 10 = 0?
1 Answer
Apr 14, 2017
Explanation:
To
color(blue)"complete the square" add
(1/2" coefficient of the x-term")^2" to " x^2-5x To retain the balance of the equation this should be added to both sides.
rArr" add " (-5/2)^2=25/4
rArr(x^2-5xcolor(red)(+25/4))+10=0color(red)(+25/4)
rArr(x-5/2)^2=25/4-10
rArr(x-5/2)^2=-15/4 Since the right side is negative, the solutions are complex.
color(blue)"take the square root of both sides"
sqrt((x-5/2)^2)=+-sqrt(-15/4)
rArrx-5/2=+-sqrt15/2i
rArrx=+-sqrt15/2i+5/2
