Question

x²+6x=16 solve using square method​

Answer 1

Step-by-step explanation:

"to complete the square"

add# (1/2" coefficient of x-term")^2" to both sides"

"that is add "(-6/2)^2=9" to both sides"

rArrx^2+2(-3)xcolor(red)(+9)=16color(red)(+9)

rArr(x-3)^2=25

color(blue)"take the square root of both sides"

x-3=+-5larr" note plus or minus"

rArrx=3+-5

rArrx=3-5" or "x=3+5

rArrx=-2" or "x=8