Question

find the roots of the following quadratic equations, if they exist 5x sqaure-7x-6=0​

Answer 1

Answer:

$roots = \frac{7 + \sqrt{ {7}^{2} + 4 \times 5 \times 6} }{2 \times 5} \: or \: \frac{7 - \sqrt{ {7}^{2} + 4 \times 5 \times 6 } }{2 \times 5} \\ = \frac{7 + \sqrt{49 + 120} }{10} \: or \: \frac{7 - \sqrt{49 + 120} }{10} \\ = \frac{7 + \sqrt{169} }{10} \: or \: \frac{7 - \sqrt{169} }{10} \\ = \frac{7 + 13}{10} \: or \: \frac{7 - 13}{10} \\ = 2 \: \: or \: \: - \frac{3}{5} \: \: ans.$