Recollect the mathematical theory or concept that this formula is derived from:
WHAT IS THISP88
\[
x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}
\]
Answer
Final Answer: The formula \(x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}\) is known as the quadratic formula. It is used to find the roots of a quadratic equation, which is an equation of the form ax^2 + bx + c = 0. The quadratic formula is derived from the process of completing the square. \(\boxed{\text{Quadratic Formula}}\)
Step 1 ：Recollect the mathematical theory or concept that this formula is derived from: The formula \(x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}\) is known as the quadratic formula. It is used to find the roots of a quadratic equation, which is an equation of the form ax^2 + bx + c = 0. The quadratic formula is derived from the process of completing the square.
Step 2 ：Final Answer: The formula \(x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}\) is known as the quadratic formula. It is used to find the roots of a quadratic equation, which is an equation of the form ax^2 + bx + c = 0. The quadratic formula is derived from the process of completing the square. \(\boxed{\text{Quadratic Formula}}\)
