Which constant should be added and subtracted to solve the quadratic equation `4"x"^2 - sqrt3"x" - 5` = 0 by the method of completing the square?
`3/16` Explanation: This can be written as `4"x"^2 - sqrt3"x" - 5` = 0 `(2"x")^2 - 2 xx (2"x") xx sqrt3/4 - 5 + (sqrt3/4)^2 - (sqrt3/4)^2` = 0 `(2"x")^2 - 2 xx (2"x") xx sqrt3/4 + (sqrt3/4)^2 - 5 - 3/16` = 0 `(2"x" - sqrt3/4)^2 = 5 + 3/16` `(2"x" - sqrt3/4)^2 = 83/16` Hence the given equation can be solved by adding and subtracting `3/16`. Concept: Solutions of Quadratic Equations by Completing the Square Is there an error in this question or solution? |