(2x+3)^2=25 by formula method

1.	(2x+3)^2=25 by formula method
Answer» $\blue{\bold{\underline{\underline{Answer:}}}}$ $\green{\tt{\therefore{Value\:of\:x=1\:and\:-4}}}$ $\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$ $\green{\underline \bold{<klux>GIVEN</klux> :}} \\ \tt: \implies {(2x + 3)}^{2} = 25 \\ \\\red{\underline \bold{To \: Find:}} \\ \tt: \implies Value \: of \: x = ?$ • ACCORDING to given QUESTION : $\tt: \implies {(2x + 3)}^{2} = 25 \\ \\ \tt \circ \: (a + b)^{2} = {a}^{2} + {b}^{2} + 2ab \\ \\ \tt: \implies 4 {x}^{2} + 9 + 12x = 25 \\ \\ \tt: \implies 4 {x}^{2} + 9 + 12x - 25 = 0 \\ \\ \tt: \implies 4 {x}^{2} + 12x - 16 = 0 \\ \\ \tt: \implies {x}^{2} + 3x - 4 = 0 \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies {x}^{2} + 4x - x - 4 = 0 \\ \\ \tt: \implies x(x + 4) - 1(x + 4) = 0 \\ \\ \tt: \implies (x - 1)(x + 4) = 0 \\ \\ \green{\tt: \implies x = 1 \: and \: - 4}$

Answer»

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Value\:of\:x=1\:and\:-4}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{<klux>GIVEN</klux> :}} \\ \tt: \implies {(2x + 3)}^{2} = 25 \\ \\\red{\underline \bold{To \: Find:}} \\ \tt: \implies Value \: of \: x = ?$

• ACCORDING to given QUESTION :

$\tt: \implies {(2x + 3)}^{2} = 25 \\ \\ \tt \circ \: (a + b)^{2} = {a}^{2} + {b}^{2} + 2ab \\ \\ \tt: \implies 4 {x}^{2} + 9 + 12x = 25 \\ \\ \tt: \implies 4 {x}^{2} + 9 + 12x - 25 = 0 \\ \\ \tt: \implies 4 {x}^{2} + 12x - 16 = 0 \\ \\ \tt: \implies {x}^{2} + 3x - 4 = 0 \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies {x}^{2} + 4x - x - 4 = 0 \\ \\ \tt: \implies x(x + 4) - 1(x + 4) = 0 \\ \\ \tt: \implies (x - 1)(x + 4) = 0 \\ \\ \green{\tt: \implies x = 1 \: and \: - 4}$

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