Which option correctly shows the quadratic formula?

Question

x=
2a
−b±
b
2
−4ac
​

​


x=
2
b±
−b
2
−4ac
​

​


x=
2c
−b+
b
2
+4ac
​

​


2
b−
b
2
+4ac
​

​

Answer 1

The correct form of the quadratic formula is:

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

None of the options you provided correctly represent the quadratic formula.

Here’s a breakdown of the correct formula:

• \( x \) represents the solutions of the quadratic equation \( ax^2 + bx + c = 0 \).
• \( a, b, \) and \( c \) are coefficients from the quadratic equation.
• \( \pm \) indicates that there are generally two solutions: one with addition and one with subtraction.
• The term under the square root, \( b^2 - 4ac \), is known as the discriminant.

Please check the options again, or feel free to ask for further clarification!