Question

Solve the quadratic equation formula for x square - 5 x minus 3 is equal to zero

Answer 1

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$given \: that \\ {x}^{2} - 5x - 3 = 0 \\ we \: know \: the \: equation \: of \: quadric \\ that \: \\ =a {x}^{2} + bx + c \\ here \: we \: can \: compair \: \\ \\ the \: coefficint \: of : {x}^{2} = 1 \\ \\ the \: coefficient \: of : x = ( - 5) \\ \\ the \: last \: coefficient : = ( - 3) \\ \\ now \: the \: formula \: of \: quadric \\ the \: equation \: = {x}^{2} - 5x - 3 = 0 \\ = > x = \frac{ - b \frac{ + }{} \sqrt{ {b}^{2} - 4ac} }{2 \times a} \\ = > x = \frac{ - ( - 5) \frac{ + }{} \sqrt{ { (- 5)}^{2} - 4.1.( - 3)} }{2 \times 1} \\ = > x = \frac{5 \frac{ + }{} \sqrt{25 + 12} }{2} \\ = > x = \frac{5 \frac{ + }{} \sqrt{37} }{2} \\ here \: we \: get \: two \: values \: like \\ x = \frac{5 + \sqrt{37} }{2} \\ = > x = \frac{5 - \sqrt{37} }{2}$

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✨✨hope it helps✨✨