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14 October, 00:12

Solve the quadratic equation for x. What is one of the roots?

2x2 + 9x - 5 = 0

A) -

1

2

B) -

1

5

C)

1

2

D)

1

5

+5
Answers (1)
  1. 14 October, 00:35
    0
    x₁ = 0,5

    x₂ = - 5

    Step-by-step explanation:

    2x² + 9x - 5 = 0

    2x² + 10x - x - 5 = 0

    2x (x + 5) - (x + 5) = 0

    (2x - 1) (x + 5) = 0

    2x - 1 = 0 ⇒ 2x = 1 ⇒ x₁ = 1/2 ⇒ x₁ = 0,5

    x + 5 = 0 = > x₂ = - 5
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