Question

Factorise x²+4x+15/4

Answer 1

Step-by-step explanation:

x²+4x+15/4

x2 + 3/2x + 5/2x + 15/4 x

(x+5/2)(x+3/2)

Answer 2

⠀⠀⠀$\huge\underline{ \overline{ \bf{ \purple{QUESTION}}}}$

⠀⠀${x}^{2} + 4x + \frac{15}{4}$

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⠀⠀⠀⠀⠀$\huge\underline{ \underline{ \bf{ \blue{ \: solution \: : = }}}}$

⠀⠀⠀⠀⠀

⠀⠀⠀$\large \bold{ =>\frac{4 {x}^{2} + 16x + 15 }{4} = 0}$

⠀⠀⠀$=>4 {x}^{2} + 16x + 15 = 0 \times 4 \\ \\=> 4 {x}^{2} + 10x + 6x + 15 \\ \\ =>2x(2x + 5) + 3(2x + 5) \\ \\=> (2x + 5)(2x + 3)$

⠀⠀⠀${ \boxed{ \fbox{ \pink{x = \frac{ - 5}{2} }}}} \: or \:{ \boxed{ \fbox{ \pink{x = \frac{ - 3}{2} }}}}$