Question

Calculer x si (x+1/2)^2= 4/9

Answer 1

`x=-(7)/(6)\\x=(1)/(6)`

Explanation:

The equation to solve is:

`(x+(1)/(2))^2=(4)/(9)`

To get rid of the "square", we need to take square root of both sides:

`\sqrt{(x+(1)/(2))^2}=\sqrt{(4)/(9)}\\x+(1)/(2)=(√(4))/(√(9))`

Then we use algebra to find the value(s) of x. Remember, when we take square root, we have to add up a "+-" (on the right side). Shown below:

`x+(1)/(2)=+-(√(4))/(√(9))\\x+(1)/(2)=+-(2)/(3)\\x=(2)/(3)-(1)/(2)=(1)/(6)\\x=-(2)/(3)-(1)/(2)=-(7)/(6)`

So these are 2 answers for x.