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Question :--- Solve the Quadratic Equation 4m² + 17m + 15 ?
Solution :---
First we will put the Quadratic Equation Equal to 0.
→ 4m² + 17m + 15 = 0
Now, Splitting the Middle Term we Get,
→ 4m² + 17m + 15 = 0
→ 4m² + 12m + 5m + 15 = 0
→ 4m(m+3) + 5(m+3) = 0
Taking (m+3) common now,
→ (m+3)(4m+5) = 0
Now, Either (m+3) is Equal to zero or , (4m+5) is Equal to zero.
If , (m+3) = 0. and , if (4m+5) = 0
→ m = (-3) m = (-5/4) .
Hence, value of m will be Either (-3) or (-5/4).
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