Math, asked by thanga04k, 10 months ago

X + 2 X square + 25 - 10 x square - 20 X factorise

Answers

Answered by umiko28
4

Answer:

\huge\underline{ \underline{ \red {your \: \: \: answer}}}

Step-by-step explanation:

 \bf\ \: x +  {2x}^{2}  + 25  -  {10x}^{2}  - 20x = 0 \\  \\ \bf\hookrightarrow   { - 8x}^{2}  - 19x + 25 = 0 \\  \\ \bf\hookrightarrow { 8x}^{2}   + 19x  - 25 = 0  \\  \\  \bf\boxed{  \bigstar   \: using \: quadratic \: formula \:  \bigstar} \\  \\   \bf\hookrightarrow x =  \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} \\  \\ \bf\hookrightarrow \: x =  \frac{ - 19± \sqrt{ {19}^{2}  - 4 \times 8 \times ( - 25)} }{2 \times 8}  \\ \\ \bf\hookrightarrow x =  \frac{ - 19± \sqrt{361 + 800} }{16} \\  \\ \bf\hookrightarrow x =  \frac{ - 19±  \sqrt{1161} }{16} \\  \\ \small\underline{ \underline{ \orange{x =  \frac{ - 19 +  \sqrt{1161} }{16} }}} \:  \:  \: \small\underline{ \underline{ \blue{x =  \frac{ - 19  -   \sqrt{1161} }{16} }}}

\large\boxed{ \fcolorbox{yellow}{purple}{hope \: it \: help \: you}} \\  \huge\ddot{ \red \smile}

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