Question

find the roots of the quadratic equation 2 x square - 3 x - 22 is equal to zero​

Answer 1

Step-by-step explanation:

$2 {x}^{2} - 3x - 22 = 0 \\ \\ by \: quadratic \: formula..... \\ \\ \frac{ - b \binom{ + }{ - } \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ .....here \: \\ a = 2 \\ b = - 3 \\ c = - 22 \\ \\ we \: get..... \\ \\ \frac{ - ( - 3 )\binom{ + }{ - } \sqrt{ {( - 3)}^{2} - 4(2)( - 22)} }{2(2)} \\ \\ \frac{3 \binom{ + }{ - } \sqrt{9 + 176} }{4} \\ \\ \frac{3 \binom{ + }{ - } \sqrt{185} }{4} \\ \\ ....... x = \frac{3 + \sqrt{185} }{4} .......x = \frac{3 - \sqrt{185} }{4}$

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