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Lesson 569 of 1524

Quadratic Equations

Square Root Property If x 2 = k , and k ≥ 0 , then x = k or x = - k

Practice this chapter

Square Root Property If x 2 = k , and k ≥ 0 , then x = k or x = - k Quadratic Formula The solutions to a quadratic equation of the form a x 2 + b x + c = 0 , a ≠ 0 are given by the formula: x = - b ± b 2 - 4 a c 2 a

Solve a Quadratic Equation Using the Quadratic Formula To solve a quadratic equation using the Quadratic Formula. Binomial Squares Pattern If a , b are real numbers, ( a + b ) 2 = a 2 + 2 a b + b 2 ( a - b ) 2 = a 2 - 2 a b + b 2

quadratic equation — A quadratic equation is an equation of the form a x 2 + b x + c = 0 , where a ≠ 0. Square Root Property — The Square Root Property states that, if x 2 = k and k ≥ 0 , then x = k or x = - k. consecutive even integers — Consecutive even integers are even integers that follow right after one another. If an even integer is represented by n , the next consecutive even integer is n + 2 , and the…. consecutive odd integers — Consecutive odd integers are odd integers that follow right after one another. If an odd integer is represented by n , the next consecutive odd integer is n + 2 , and the next….

Worked example

What does “quadratic equation” mean in Quadratic Equations?

  1. 1Use the wording this chapter gives for quadratic equation.
  2. 2The book says: A quadratic equation is an equation of the form a x 2 + b x + c = 0 , where a ≠ 0.
  3. 3Do not use the meaning of Square Root Property. That term means The Square Root Property states that, if x 2 = k and k ≥ 0 , then x = k or x = - k.

Result: A quadratic equation is an equation of the form a x 2 + b x + c = 0 , where a ≠ 0

Why. That is the meaning this chapter gives for quadratic equation.

Do not swap quadratic equation and Square Root Property. quadratic equation means A quadratic equation is an equation of the form a x 2 + b x + c = 0 , where a ≠ 0. Square Root Property means The Square Root Property states that, if x 2 = k and k ≥ 0 , then x = k or x = - k.

Practice margin

This chapter

A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.