![]() ![]() Solve the equation below using the method of completing the square. Solve the following equation by completing the squareĭetermine the square roots on both sides. Rewrite the quadratic equation by isolating c on the right side.Īdd both sides of the equation by (10/2) 2 = 5 2 = 25.ĭivide each term of the equation by 3 to make the leading coefficient equals to 1.Ĭomparing with the standard form (x + b/2) 2 = -(c-b 2/4)Ĭ – b2/4 = 2/3 – = 2/3 – 25/36 = -1/36Īdd (1/2 × −5/2) = 25/16 to both sides of the equation.įind the square roots on both sides of the equation The standard form of a quadratic equation is a x 2 + b x + c 0, in which a, b and c represent the coefficients and x represents an unknown variable. The standard form of completing square is Like factoring (solver coming soon) and the quadratic formula, completing the square is a method used to solve quadratic equations. Solve by completing square x 2 + 4x – 5 = 0 Transform the equation x 2 + 6x – 2 = 0 to (x + 3) 2 – 11 = 0 ![]() Solve the following quadrating equation by completing square method: Now let’s solve a couple of quadratic equations using the completing square method. Isolate the term c to right side of the equation Isolate the variable terms on one side and the constant terms on the other. Solving Quadratic Equation of the Form x2 + bx + c 0 by Completing the Square. The steps to solve a quadratic equation by completing the square are listed here. Given a quadratic equation ax 2 + bx + c = 0 Solve by completing the square: y2 10y 9. The quadratic formula is derived using a method of completing the square. Completing the Square Formula is given as: ax 2 + bx + c ⇒ (x + p) 2 + constant. ![]() In mathematics, completing the square is used to compute quadratic polynomials.
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