Math, asked by nihaarika1818, 7 months ago

factorize x2+11x+20 by splitting the middle terms....

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Answered by Anonymous
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Answer:

\large x²+11x+20</p><p>view step</p><p>ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) </p><p>  </p><p>  </p><p> x_{1} </p><p> x_{2} </p><p> ax^{2}+bx+c=0 </p><p> </p><p>x^{2}+11x+20=0</p><p>x </p><p>2</p><p> +11x+20=0</p><p>view step</p><p>ax^{2}+bx+c=0 </p><p> \frac{-b±\sqrt{b^{2}-4ac}}{2a} </p><p> </p><p> </p><p> ±</p><p>x=\frac{-11±\sqrt{11^{2}-4\times 20}}{2}</p><p>x= </p><p>2</p><p>−11± </p><p>11 </p><p>2</p><p> −4×20</p><p>	</p><p> </p><p>	</p><p> </p><p>view step</p><p>11</p><p>x=\frac{-11±\sqrt{121-4\times 20}}{2}</p><p>x= </p><p>2</p><p>−11± </p><p>121−4×20</p><p>	</p><p> </p><p>	</p><p> </p><p>view step</p><p>-420</p><p>x=\frac{-11±\sqrt{121-80}}{2}</p><p>x= </p><p>2</p><p>−11± </p><p>121−80</p><p>	</p><p> </p><p>	</p><p> </p><p>view step</p><p>121-80</p><p>x=\frac{-11±\sqrt{41}}{2}</p><p>x= </p><p>2</p><p>−11± </p><p>41</p><p>	</p><p> </p><p>	</p><p> </p><p>view step</p><p>x=\frac{-11±\sqrt{41}}{2} </p><p> </p><p> ±-11\sqrt{41}\approx 6.403124237 </p><p> </p><p>x=\frac{\sqrt{41}-11}{2}</p><p>x= </p><p>2</p><p>41</p><p>	</p><p> −11</p><p>	</p><p> </p><p>view step</p><p>x=\frac{-11±\sqrt{41}}{2} </p><p> </p><p> ±\sqrt{41}\approx 6.403124237 </p><p> -11</p><p>x=\frac{-\sqrt{41}-11}{2}</p><p>x= </p><p>2</p><p>− </p><p>41</p><p>	</p><p> −11

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