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Root Nature Analysis of Quadratic Equations

Explore the discriminant and nature of roots in different quadratic equations and identify the solutions when the function equals zero.

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Root Nature Analysis of Quadratic Equations

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  1. Identify the value of the discriminant for the equation x2 – 4x + 3 = 0. • —28 • —4 • 3 • 4 • 28

  2. Identify the nature of the roots for the equation x2 – 8x + 16 = 0. • No real solutions • One real root, a double root • Two real distinct roots

  3. What is the nature of the solutions for which this function equals zero? • No real solutions • One real root, a double root • Two real distinct roots

  4. What is the nature of the solutions for which this function equals zero? • No real solutions • One real root, a double root • Two real distinct roots

  5. Identify the nature of the roots for the equation 3x2 – 4x + 10 = 0. • No real solutions • One real root, a double root • Two real distinct roots

  6. The roots of x2 + 2x + c = 0 is one real root, a double rootwhen c is • 1 • 2 • 3 • 4

  7. The roots of x2 + bx + 8 = 0 are not real when b is • 8 • —7 • 6 • —5

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