Question

factorise m²-23m-120​

Answer 1

Step-by-step explanation:

factorise m²-23m-120

Answer 2

Question:-

Factorise m² - 23m - 120

To Find:-

Factorise the equation.

Solution:-

Formula:-

${\boxed{\sf \frac{ - b \: + \sqrt{ {b}^{2} - 4ac } }{2a} }}$

a = 1 ; b = -23 ; c = -120

$➣ \frac{ - ({ - 23}^{2}) ± \sqrt{ {23}^{2} - 4(1)(120)} }{2(1)} \\ </p><p>➣ \frac{23 ± \sqrt{529 + 480} }{2}$

$➣ \frac{23 ± \sqrt{529 - 4(1)(-120} }{2(1)} \\ </p><p></p><p></p><p>➣ \frac{ 23 ± \sqrt{1009 } }{2} </p><p> \\ </p><p></p><p>➣ { \frac{23 \: + \: \sqrt{1009} }{2} \: and \: \frac{23 \: - \: \sqrt{1009} }{2} }$

➣ $\boxed{ \frac{23 \: + \: \sqrt{1009} }{2} \: and \: \frac{23 \: - \: \sqrt{1009} }{2} are\: the\: factors\: of\: the\: equation}$