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.
| Topic | Problem | Solution |
|---|---|---|
| None | Solve the quadratic equation by completing the sq… | The given quadratic equation is in the form of \(ax^2 + bx + c = 0\). To solve this equation by com… |
| None | Question Show Examples Solve for the roots in sim… | Given the quadratic equation \(3x^{2}-60x+741=0\) |
| 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 \(3(3x+6)^{2}-46=5\). |
| 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 \(f(x) = x^2 - 2x - 5\) |
| None | Solve the equation by the square root property. \… | Given the equation \((2x - 3)^2 = 23\) |
| 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… | \(c(x) = x^2 + 6x + 14\) |