Find the roots of the quadratic equations (if they exist) by the method of completing the square. `sqrt(3)x^2+10 x+7sqrt(3)=0`

Explanation

Given

`sqrt(3)x^2+10 x+7sqrt(3)=0`

`x^2+10/sqrt(3) x+7=0`

` x^2+2xx 5/sqrt(3)​x+(5/sqrt(​3))^2−25/3​+7=0`

`(x+5/sqrt(3)​)^2=4/3`

​`x+5/sqrt(3)​=+-2/sqrt(3)`


` x=−sqrt(3)
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