Question

Solve the quadratic equation by completing the square x^2+5x-3=0

Answer 1

${\tt{x = \frac{ -b± \sqrt{ {b}^{2} - 4ac } }{2a} }}$

${\tt{ x = \frac{ - 5±\sqrt{{5}^{2} - 4 \times 1 \times ( - 3)} }{2 \times 1} }}$

${\tt{x = \frac{ - 5±\sqrt{25 + 12} }{2} }}$

${\tt{x = \frac{ - 5 ±\sqrt{37} }{2} }}$

$\: \:$

${\tt{x = \frac{ - 5 + \sqrt{37} }{2} }}$

${\tt{x = \frac{ - 5 - \sqrt{37} }{2} }}$