Solve by Completing the Square

The technique of solving by completing the square is an approach utilized for addressing quadratic equations. This method necessitates the restructuring of the equation into a perfect square trinomial, followed by the application of the square root property to solve for the variable in question. This particular strategy is commonly employed when factorization is not an option.

The problems about Solve by Completing the Square

Topic	Problem	Solution
None	Solve the quadratic equation by completing the sq…	The given quadratic equation is in the form of $a x^{2} + b x + c = 0$ . To solve this equation by com…
None	Question Show Examples Solve for the roots in sim…	Given the quadratic equation $3 x^{2} - 60 x + 741 = 0$
None	nsider the following quadratic function. \[ f(x)=…	The given equation is in the standard form of a quadratic equation, which is \(f(x) = ax^2 + bx + c…
None	Solve the following quadratic equation for all va…	Given the quadratic equation $3 (3 x + 6)^{2} - 46 = 5$ .
None	Solve the quadratic equation by using the square …	The square root property states that if $x^{2} = a$ , then $x = \sqrt{a}$ or $x = - \sqrt{a}$ . In…
None	Convert the equation $f (x) = x^{2} - 2 x - 5$ into …	Given the equation $f (x) = x^{2} - 2 x - 5$
None	Solve the equation by the square root property. \…	Given the equation $(2 x - 3)^{2} = 23$
None	Solve $2 x^{2} - 20 x = 8$ by completing the square. …	Rearrange the equation so that the x terms are on one side of the equation and the constant is on t…
None	What is the c-value needed to complete the square…	Given the quadratic equation $x^{2} - 5 x - 12 = 0$
None	convert $2 x^{2} - 3 x - 2$ to vertex form	Factor out the coefficient of the x^2 term: $y = 2 (x^{2} - \frac{3}{2} x) - 2$
None	4. (MGSE9.12 ACED.2, MGSF9-12. B.BF.1) Complete t…	$c (x) = x^{2} + 6 x + 14$