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Solving quadratic equations by using the formula

Solving quadratic equations by using the formula. The solutions of ax 2 + bx + c = 0 are. x =. Solve x 2 – 3x – 10 = 0. a =. 1. b =. - 3. c =. - 10. x =. =. =. x =. x = -2 or. x = 5. Solve 2x 2 + 5x + 1. a =. 2. b =. 5. c =. 1. x =. x =. =. =. x =. or x =.

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Solving quadratic equations by using the formula

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  1. Solving quadratic equations by using the formula The solutions of ax2 + bx + c = 0 are x = Solve x2 – 3x – 10 = 0 a = 1 b = - 3 c = - 10 x = = = x = x = -2 or x = 5

  2. Solve 2x2 + 5x + 1 a = 2 b = 5 c = 1 x = x = = = x = or x =

  3. Solve 3x2 + 6x - 1 a = 3 b = 6 c = -1 x = x = = = = = x = or x =

  4. Number of solutions of a quadratic equation A quadratic equation ax2 + bx + c = 0 b2 – 4ac > 0  the equation has two solutions. b2 – 4ac = 0  the equation has one solutions. b2 – 4ac < 0  the equation has one solutions.

  5. Find the discriminant of 3x2– 2x + 5 and hence show that 3x2– 2x + 5 = 0 has no real solutions.  Compare the quadratic expression with ax2 + bx + c and identify a, b, and c a = 3, b = –2, c = 5  Evaluate the discriminant b2– 4ac  Apply the appropriate discriminant property 3x2– 2x + 5 = 0 has no real solutions.

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