Question

m² - 5m = 36 solve using factorization method​

Answer 1

Step-by-step explanation:

Here,

m² -5m = 36

m² -5m -36 = 0

m² -9m + 4m -36 = 0

m( m - 9) + 4 ( m -9 ) = 0

(m + 4) (m - 9 ) = 0

Answer 2

${ \huge{ \mathtt{ \underline{ \underline{Question}}}}}$

》 m² - 5m = 36 solve using factorization method .

${ \huge{ \mathtt{ \underline{ \underline{ Solution}}}}}$

${m}^{2} - 5m = 36$

${m}^{2} - 5 - 36 = 0$

• a = 1
• b = -5
• c= -36

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

$\frac{ - ( - 5) \frac{ \times+ }{ - } \sqrt{ {5}^{2} - 4 \times 1 \times ( - 36) } }{2 \times 1}$

$\frac{5 \frac{ + }{ - } \sqrt{25 - ( - 144)} }{2}$

$\frac{5 \frac{ + }{ - } \sqrt{169} }{2}$

$\frac{5 \frac{ + }{ - }3 }{2}$

${ \mathtt{ \orange {by \: taking \: positive \: sign}}}$

$\frac{5 + 3}{2}$

$\frac{8}{2}$

${ \mathtt{ \red{ \boxed{4}}}}$

${ \mathtt{ \orange{ by \: taking \: negative \: sign}}}$

$\frac{5 - 3}{2}$

$\frac{2}{2}$

${ \mathtt{ \red{ \boxed{ 1}}}}$

So the equation m² - 5m = 36 have 2 factors 4 and 1 .

__________________________________________