Question

Solve for x correct to 2dc: 2x² – 5x – 9 = 0.

Answer 1

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Answer 2

Answer:

x = 3.71 or x = -1.21

Step-by-step explanation:

2x² – 5x – 9 = 0

Apply the quadratic formula:

$x = \dfrac{-b \pm \sqrt{b^2 - 4ac} }{2a}$

Insert a = 2, b = -5, c = -9

$x = \dfrac{-(-5) \pm \sqrt{(-5)^2 - 4(2)(-9)} }{2(2)}$

$x = \dfrac{5 \pm \sqrt{97} }{4}$

$x = 3.71 \ or \ x = -1.21$

Answer: x = 3.71 or x = -1.21