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The Quadratic Formula

The Quadratic Formula

 

The other main approach to solving quadratic equations comes from the fact that x2 = k implies x = k, –k and a technique called completing the square. The solutions to ax2 + bx + c = 0 are:

These solutions are abbreviated as,

This formula is called the quadratic formula. It will solve every quadratic equation. The quadratic formula is very important in algebra and is worth memorizing. You might wonder why we bother factoring quadratic expressions to solve quadratic equations when the quadratic formula will work. There are two reasons. One, factoring is an important skill in algebra and calculus. Two, factoring is often easier and faster than computing the quadratic formula. The quadratic formula is normally used to solve quadratic equations where the factoring is difficult.

   Before the formula can be used, the quadratic equation must be in the form ax2 + bx + c = 0. Once a, b, and c are identified, applying the quadratic formula is simply a matter of performing arithmetic.

 

Practice

 

Identify a, b, and c for ax2 + bx + c = 0.

 

 

Solutions

 


 

“Sumber Informasi”

Labels: Mathematician

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