Transposing the constant term to the right side of the equation.

Dividing each term of the equation by the numerical coefficient of the quadratic term.

Applying the Square Root Property for both sides of the equation.

Dividing the coefficient of the linear term by 2, squaring it, then adding the answer to both sides of the equation.

$\frac{b}{2a}$

$\frac{b}{a}$

$\left(\frac{b}{2a}\right)^{2\ }$

$\left(\frac{b}{a}\right)^2$

3

4

5

6

Derivation

Completing the Square

Factoring

Change of Polynomials

Transposing the constant term to the right side of the equation.

Dividing each term of the equation by the numerical coefficient of the quadratic term.

Applying the Square Root Property for both sides of the equation.

Dividing the coefficient of the linear term by 2, squaring it, then adding the answer to both sides of the equation.

$x=\frac{-b\pm\sqrt{b-4ac}}{2a}$

$x=\frac{b\pm\sqrt{b-4ac}}{2a}$

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{b\pm\sqrt{b^2-4ac}}{2a}$

Only Statement I is correct.

Only Statement II is correct.

Both statements are correct.

Neither of the statements is correct.

Transposing the constant term to the right side of the equation.

Dividing each term of the equation by the numerical coefficient of the quadratic term.

Applying the Square Root Property for both sides of the equation.

Dividing the coefficient of the linear term by 2, squaring it, then adding the answer to both sides of the equation.

Factoring the left side of the equation as a perfect square trinomial and simplify the right side.

Combining all the terms containing the unknown to the left side of the equation and the constant terms to the right side, if possible.

Extracting the square root of both sides. Affix ± sign before the square root of the right side.

Solving the resulting linear equation.