Question

Roots of the Quadratic equation 2x^2-x-2=0are_____and____

Answer 1

Answer:

$x = \frac{1 + \sqrt{17} }{4} \\ \\ x = \frac{1 - \sqrt{17} }{4}$

Step-by-step explanation:

$2 {x}^{2} - x - 2 = 0 \\ \\ for \: \: a {x}^{2} + bx + c = 0 \\ \\ x = \frac{ - b + | \sqrt{ {b}^{2} - 4ac} | }{2a} \\ \\ here \\ \\ a = 2 \\ b = - 1 \\ c = - 2 \\ \\ x = \frac{ - ( - 1) + | \sqrt{ {( - 1)}^{2} - 4(2)( - 2) } | }{2(2)} \\ \\ x = \frac{ 1 + | \sqrt{17} | }{4} \\ \\ x = \frac{1 + \sqrt{17} }{4} \\ \\ x = \frac{1 - \sqrt{17} }{4}$

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