Question

solve this problem by using quadratic equation form m2 - 7m-169=0​

Answer 1

Answer:

m² - 7m -169 = 0

a = 1 ; b =-7 ; c = -169

By sridaracharyas formula

- b ± √b² - 4ac /2a

or, 7± √49 +676 / 2*1

or, 7 ± √725 / 2

or, 7 + 26.92 /2 , 7- 26.92 /2

or, 16.96, -9.96

hence ,

m =16.96

or

m= -9.96

Answer 2

$\large\red{\text\:Answer}$

$\boxed{m = \frac{7 + 5\sqrt{29} }{2}} \: \: or \: \: \boxed{ m = \frac{7 -5 \sqrt{29} }{2}}$ are the roots of the given quadratic equation.

$\large\pink{\text\:Explanation}$

${m}^{2} - 7m - 169 = 0 \\ \\ a = 1 \: \: b = - 7 \: \: c = - 169 \\ \\ m \: = \frac{ - b \pm\sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ \implies \: m = \frac{ - ( - 7)\pm \sqrt{ {( - 7)}^{2} - 4 \times 1 \times ( - 169) } }{2 \times 1} \\ \\ \implies \: m = \frac{7 \pm\sqrt{49 + 676} }{2} \\ \\ \implies \: m = \frac{7\pm \sqrt{725} }{2} \\ \\ \implies \: m = \frac{7\pm \sqrt{25 \times 29} }{2} \\ \\ \implies \: m = \frac{7\pm5 \sqrt{29} }{2} \\ \\ \implies \: \boxed{m = \frac{7 + 5\sqrt{29} }{2}} \: \: or \: \: \boxed{ m = \frac{7 -5 \sqrt{29} }{2}}$