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Mastering Quadratic Formula Basics

Understand quadratic equations, discriminant, and solutions with the quadratic formula. Step-by-step practice problems to enhance your Algebra II skills.

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Mastering Quadratic Formula Basics

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  1. 4.6 Practice B (evens): Write the expression as a complex number in standard form. 1.)

  2. Algebra II 4.8: Quadratic Formula

  3. Quadratic Formula • The quadratic formula is used to solve any quadratic equation. • Quadratic Formula: If ax2 + bx + c = 0, then

  4. Discriminant • The discriminant = b2 – 4ac • The value of the discriminant tells you how many solutions the quadratic equation has. • 0  1 real solution. • positive number  2 real solutions. • negative number  2 imaginary solutions.

  5. Find the discriminant and determine the number of solutions. 1.) x2 – 8x + 16 = 0 2.) 5x2 + 20x = -21

  6. Use the Quadratic Formula to find the solutions to the equation. 1.) x2 – 4x – 5 = 0

  7. Use the Quadratic Formula to find the solutions to the equation. 2.) 3 – 8v – 5v2 = 2v

  8. Use the Quadratic Formula to find the solutions to the equation. 3.) 4x2 + 3 = x2 – 7x

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