Completing the Square

The standard form of a quadratic equation is $$y = ax^2 + bx + c$$ , where a, b, and c are constants.

a = 2, b = -3, c = 2.

Completing the square is a method used to solve quadratic equations by rewriting the equation in the form $$(x - p)^2 = q$$ .

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, such as $$a^2 + 2ab + b^2 = (a + b)^2$$ .

Check if the first and last terms are perfect squares and if the middle term is twice the product of the square roots of the first and last terms.

Subtract 21 from both sides to isolate the quadratic terms.

x = $$\frac{7}{2}$$ .

The vertex form of a quadratic equation is $$y = a(x - h)^2 + k$$ , where (h, k) is the vertex of the parabola.

To convert, complete the square on the quadratic expression.

The axis of symmetry is given by the formula $$x = -\frac{b}{2a}$$ .