I need help with this maths question: Solve by completing the square and write your answers correct to 3 significant figures y^2 - 40y - 3 = 0



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oldnick's profile pic

Posted on (Answer #1)


let we solve it:

`y^2 -(2)(20)+400-403=0 `







mjripalda's profile pic

Posted on (Answer #2)


To solve using the completing the square method, isolate the constant.



Then, determine the number that should be added on both sides of the equation. To do so, take half of coefficient of y. And square it.





Then, factor left side.


And, isolate y.




`y=+-sqrt403 + 20`

The `+-` signs before the square root indicates that there are two values of y which are:



Since the values should be express with three significant figure,  then, the solutions to the given equation are y={-0.075, 40.1}.

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