Math, asked by shrikrushna3338, 1 year ago

FACTORISE
4x^2 - 1/16.

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Answers

Answered by Sharad001
46

 \underline{ { \colorbox{yellow}{Question}}}:  -  \\   \sf{ factorise \: it} \\     \sf{4{x}^{2}  -  \frac{1}{16} } \\   \underline{ \colorbox{cyan}{Answer}}  : -   \\  \\\implies  \boxed{\sf{x \:  =  +  \frac{1}{8}  \: or -  \frac{  1}{8} }} \:  \\  \\  \underline{\colorbox{red}{Solution}} : -  \\  \\  \sf{for \: facrtorisation \: it \: be \:equal \: to \: 0} \\  \\  \implies \sf{ 4 {x}^{2}  -  \frac{1}{16}  = 0} \\  \\  \implies \sf{4 {x}^{2}  =  \frac{1}{16} } \\  \\  \implies \sf{ {x}^{2}  =  \frac{1}{64} } \\  \\  \implies \sf{ {x}  =  +  \frac{1}{ \sqrt{64} }  \: or \:  -  \frac{1}{ \sqrt{64} } } \\  \\  \implies  \boxed{\sf{x \:  =  +  \frac{1}{8}  \: or -  \frac{  1}{8} }}

Answered by RvChaudharY50
11

\color {red}\huge\bold\star\underline\mathcal{Question:-}

Factorise :---

4 {x}^{2}  -  \frac{1}{16}

\bold{\boxed{\huge{\boxed{\orange{\small{\boxed{\huge{\red{\bold{\:Answer}}}}}}}}}}

\textbf{</strong><strong>Put</strong><strong> </strong><strong>above</strong><strong> </strong><strong>Equation</strong><strong> </strong><strong>equal</strong><strong> </strong><strong>to</strong><strong> </strong><strong>zero</strong><strong>}

4 {x}^{2}   -  \frac{1}{16}  = 0 \\  \\ 4 {x}^{2}  =  \frac{1}{16}  \\  \\  \\  {x}^{2}  =  \frac{1}{16 \times 4}  \\  \\  \\  {x}^{2}  =  \frac{1}{64}  \\  \\  \\ x =   +  \frac{1}{8}  \:  \: or \:  \:  -  \frac{1}{8}

\</strong><strong>h</strong><strong>u</strong><strong>g</strong><strong>e</strong><strong>\red{\boxed{\sf </strong><strong>x =   +  \frac{1}{8}  \:  \: or \:  \:  -  \frac{1}{8}</strong><strong>}}

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