Ch 9 Sections 1 and 2 Elementary Algebra

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Ch 9 Quadratic Equations: 

Ch 9 Quadratic Equations Section 1 – Solve Quadratic Equations using the Principle of Square Roots

Introduction: 

Introduction For any nonnegative real number k, if x2 = k, then: or Solve. or

Practice: 

Practice Solve. or Check:

Practice: 

Practice Solve. or

Practice: 

Practice Solve. or

Solving Other Types of Quadratic Equations: 

Solving Other Types of Quadratic Equations Equations like these can be solved using the principle of squares root too: or or or or

Slide7: 

One more type of problem… Solve by factoring and using the principle of square roots.

Practice: 

Practice Solve by factoring and using the principle of square roots.

Practice: 

Practice MathXL: Ch 9 Section 1 Homework

Ch 9: 

Ch 9 Section 3 – Quadratic Formula

Quadratic Equations: 

Quadratic Equations Equations with second degree terms:

The Quadratic Formula: 

The Quadratic Formula If you have an equation of this form: Use this formula to find the solutions:

Using the Quadratic Formula 1 of 3: 

Using the Quadratic Formula 1 of 3 Solve. a = ____ b = ____ c = ____ 4 5 -6

Using the Quadratic Formula 1 of 3: 

Using the Quadratic Formula 1 of 3 or or or

Slide15: 

Using the Quadratic Formula 2 of 3 Solve. a = ____ b = ____ c = ____ 1 -4 -7 Rearrange to this format: ax2 + bx + c = 0

Slide16: 

Using the Quadratic Formula 2 of 3 or

Slide17: 

Using the Quadratic Formula 3 of 3 Solve. a = ____ b = ____ c = ____ 1 1 1 Rearrange to this format: ax2 + bx + c = 0

Slide18: 

Using the Quadratic Formula 3 of 3 Radicand is negative: No Real Number Solutions

Applications – Financial Problem: 

Applications – Financial Problem Formula: A = Value of Account P = Amount Initially Invested t = time in years r = interest rate Determine r if P = 2000, A = 2880, and t = 2 years

Application – Financial Problem: 

Application – Financial Problem Take the square root of both sides. Subtract 1 from both sides.

Application - Geometry: 

Application - Geometry In 2000, a circular oil slick near the coast of Cape Town, South Africa was estimated to be about 20 square kilometers in area. How wide was the oil slick? Multiply both sides by 4. Divide both sides by 3.14. Take the square root of both sides.

Practice: 

Practice MathXL: Ch 9 Section 3 Homework