Question 350876
your equation is:


x^2 + (1/2)*x = 1


the coefficient of the x^2 term is 1.


the coefficient of the x term is (1/2)


take (1/2) of the coefficient of the x term to get (1/4)


square that to get (1/16)


your completing the square factor becomes:


(x + (1/4))^2 = 1 + (1/16)


take the square root of each side of this equation to get:


x + (1/4) = +/- sqrt (17/16)


subtract (1/4) from both sides of this equation to get:


x = -(1/4) +/- sqrt(17/16)


that should be your solution.


if it is, then you can plug those values of x into your original equation and the original equation should be true.


your values of x come out to be:



x = .780776406
x = -1.280776406 


your original equation is:


x^2 + (1/2)*x = 1


plugging the first and second values of x respectively into that equation, you get:


1 = 1
1 = 1


this confirms that the solutions are good.