X2+x+ = ]2 then, according to the law of transitivity, ]2 Things which are equal to the same thing are also equal to one another. Now the clever bit: Take the coefficient of x , which is 55/2 , divide by two, giving 55/4 , and finally square it giving 3025/16Īdd 3025/16 to both sides of the equation : On the right hand side we have :Ĩ7/2 + 3025/16 The common denominator of the two fractions is 16 Adding + gives 3721/16 So adding to both sides we finally get :Īdding 3025/16 has completed the left hand side into a perfect square : First, left hand side needs to be rewritten as 9x^ Solve Quadratic Equation by Completing The SquareĤ.2 Solving 2x2+55x-87 = 0 by Completing The SquareDivide both sides of the equation by 2 to have 1 as the coefficient of the first term : To solve the equation, factor the left hand side by grouping. Solve Quadratic Equation using the Quadratic Formula.Supplement : Solving Quadratic Equation Directly.
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