Math, asked by Anonymous, 9 months ago

Heya dude here is your question

5m^2 –22m –15 = 0

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Answers

Answered by Anonymous
48

Question :–

Question =

5m^{2}  - 22m - 15 = 0

Answer:

m \:  =  \frac{ -3} {5} ,5

Step-by-step explanation:

5m^{2}  - 22m - 15 = 0 \\  \\ 5m^{2} - (25 - 3)m - 15 = 0 \\  \\ 5m^{2}  - 25m  +  3m - 15 = 0 \\  \\ 5m(m - 5) + 3(m - 5) = 0 \\  \\ (5m + 3) \: ( m- 5) = 0 \\  \\ 5m + 3 = 0 \:  \\  \\ 5m =  - 3 \\ \\ m =  \frac{ - 3}{ \: 5}  \\  \\ m - 5 = 0 \\  \\ m = 5 \\  \\  \frac{ - 3}{ \:  5}  \: 5 \\  \\ verification \:  \\  \\ (5m + 3) \: (m - 5)  \: (on \: multyplying)\\ \\  5 {m}^{2}  - 25m+3 m - 15 = 0 \\  \\ 5m^{2}  - 22m - 15 = 0

\boxed{Hence\: Verified}

Answered by Imanu02
14

Answer:

5 {m}^{2} - 22m - 15 = 0 \\ 5 {m}^{2} - 25m + 3m - 15 = 0 \\ 5m(m - 5) + 3(m - 5) \\ (5m + 3) \: and \: (m - 3)  \\ (m =  -  \frac{3}{5}  \: and \: m = 3

HOPE THIS HELPS YOU❣️❣️✔️✔️✌️✌️

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