Question Number 125580 by Mammadli last updated on 12/Dec/20 $$\boldsymbol{{One}}\:\boldsymbol{{number}}\:\boldsymbol{{is}}\:\boldsymbol{{written}}\:\boldsymbol{{on}}\:\boldsymbol{{the}}\:\boldsymbol{{board}}. \\ $$$$\boldsymbol{{Each}}\:\boldsymbol{{time}}\:\boldsymbol{{the}}\:\boldsymbol{{number}}\:\boldsymbol{{is}}\:\boldsymbol{{either}}\:\boldsymbol{{squared}}\:\boldsymbol{{or}}\:\boldsymbol{{multiplied}}\:\boldsymbol{{bh}}\:\mathrm{2}. \\ $$$$\boldsymbol{{If}}\:\mathrm{1}\:\boldsymbol{{is}}\:\boldsymbol{{written}}\:\boldsymbol{{on}}\:\boldsymbol{{the}}\:\boldsymbol{{board}}\:\boldsymbol{{at}}\:\boldsymbol{{the}}\:\boldsymbol{{beginning}}, \\ $$$$\boldsymbol{{it}}\:\boldsymbol{{is}}\:\boldsymbol{{necessary}}\:\boldsymbol{{to}}\:\boldsymbol{{perform}}\:\boldsymbol{{at}}\:\boldsymbol{{least}} \\ $$$$\boldsymbol{{several}}\:\boldsymbol{{operations}}\:\boldsymbol{{to}}\:\boldsymbol{{get}}\:\boldsymbol{{the}}\:\boldsymbol{{number}}\:\mathrm{2}^{\mathrm{2018}} . \\ $$ Terms of Service Privacy…
Question Number 60045 by Kunal12588 last updated on 17/May/19 Commented by Kunal12588 last updated on 17/May/19 $${Ans}\::\:\mathrm{177}\frac{\mathrm{1}}{\mathrm{4}}\pi\:\:\left({given}\:{in}\:{book}\right) \\ $$ Commented by mr W last updated…
Question Number 60043 by Kunal12588 last updated on 17/May/19 $${Show}\:{that}\:{in}\:{a}\:\mathrm{30}°−\mathrm{60}°−\mathrm{90}°\:{triangle}\:{the}\: \\ $$$${altitude}\:{on}\:{the}\:{hypotaneuse}\:{divides}\:{the}\: \\ $$$${hypotaneuse}\:{into}\:{segments}\:{whose}\:{length} \\ $$$${has}\:{the}\:{ratio}\:\mathrm{1}/\mathrm{3}. \\ $$$${without}\:{using}\:{trigonometry}. \\ $$ Answered by tanmay last updated…
Question Number 125577 by ajfour last updated on 12/Dec/20 Commented by ajfour last updated on 12/Dec/20 $${If}\:{the}\:{cubic}\:{curve}'{s}\:{eq}.\:\:{is} \\ $$$${y}={x}^{\mathrm{3}} −{x}−{c} \\ $$$${and}\:{parabola}'{s}\:{eq}.\:{is}\: \\ $$$${y}=\left({x}−{h}\right)^{\mathrm{2}} +\left(\frac{\mathrm{2}}{\mathrm{3}\sqrt{\mathrm{3}}}−{c}\right)\:,\:{then}…
Question Number 60039 by MJS last updated on 17/May/19 $$\mathrm{find}\:\mathrm{all}\:\mathrm{solutions}\:\mathrm{for}\:{z}\in\mathbb{C} \\ $$$${z}^{\mathrm{i}} =\frac{\mathrm{1}}{\mathrm{2}}−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{i} \\ $$$${z}^{\mathrm{1}−\mathrm{i}} =\mathrm{1}+\mathrm{i} \\ $$ Commented by maxmathsup by imad last updated…
Question Number 125575 by ZiYangLee last updated on 12/Dec/20 $$\mathrm{If}\:\underset{{x}\rightarrow{a}} {\mathrm{lim}}\frac{{x}^{\mathrm{2}} −{bx}+\mathrm{4}{b}}{{x}−{a}}=−\mathrm{6},\:\mathrm{find}\:{a}\:\mathrm{and}\:{b}. \\ $$ Answered by ajfour last updated on 12/Dec/20 $${a}^{\mathrm{2}} −{ab}+\mathrm{4}{b}=\mathrm{0} \\ $$$$\mathrm{2}{a}−{b}=−\mathrm{6}…
Question Number 191111 by Shrinava last updated on 18/Apr/23 $${bb}\mathrm{55}{bb} \\ $$ Commented by mr W last updated on 18/Apr/23 $$\mathrm{12277179} \\ $$ Commented by…
Question Number 125572 by ajfour last updated on 12/Dec/20 Commented by ajfour last updated on 12/Dec/20 $${If}\:{equilateral}\:{triangle}\:{ABC}\:{has} \\ $$$${side}\:{length}\:{s}=\mathrm{3}\:{units},\:{find}\:{x}_{{A}} . \\ $$$${Parabola}\:{eq}.\:{is}\:\:{y}={x}^{\mathrm{2}} . \\ $$…
Question Number 60036 by sitangshu17 last updated on 17/May/19 Answered by tanmay last updated on 17/May/19 $${x}^{\mathrm{2}} −\mathrm{5}{x}+\mathrm{6}>\mathrm{0} \\ $$$$\left({x}−\mathrm{2}\right)\left({x}−\mathrm{3}\right)>\mathrm{0} \\ $$$${f}\left({x}\right)={x}^{\mathrm{2}} −\mathrm{5}{x}+\mathrm{6} \\ $$$${when}\:…
Question Number 191104 by Mingma last updated on 18/Apr/23 Answered by witcher3 last updated on 18/Apr/23 $$\mathrm{n}=\mathrm{m}=\mathrm{0}\Rightarrow\sqrt{\mathrm{0}}=\mathrm{0}\in\mathrm{Q} \\ $$ Commented by mehdee42 last updated on…