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Category: Algebra

If-the-coefficients-of-x-k-and-x-k-1-in-the-expansion-2-3x-19-are-equal-what-is-the-value-of-k-

Question Number 100587 by bobhans last updated on 27/Jun/20 $$\mathrm{If}\:\mathrm{the}\:\mathrm{coefficients}\:\mathrm{of}\:{x}^{{k}} \:\mathrm{and}\:{x}^{{k}+\mathrm{1}} \:\mathrm{in}\:\mathrm{the}\: \\ $$$$\mathrm{expansion}\:\left(\mathrm{2}+\mathrm{3}{x}\right)^{\mathrm{19}} \:\mathrm{are}\:\mathrm{equal}\:,\:\mathrm{what}\:\mathrm{is} \\ $$$$\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{k}\:? \\ $$ Commented by bobhans last updated on…

Question-166102

Question Number 166102 by Tawa11 last updated on 13/Feb/22 Answered by mr W last updated on 13/Feb/22 $${we}\:{have}\:{totally}\:\mathrm{12}\:{rolls}\:{for}\:{the}\:{numbers} \\ $$$$\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5},\mathrm{6},\:{the}\:{sum}\:{of}\:{them}\:{is}\:\mathrm{47}.\: \\ $$$${only}\:{one}\:{number}\:{occurs}\:\mathrm{3}\:{times}.\:{it}'{s} \\ $$$${easy}\:{to}\:{get}\:{that}\:{an}\:{other}\:{number}\:{must} \\…

x-yz-42-y-xz-6-z-xy-30-find-x-y-z-

Question Number 100567 by bramlex last updated on 27/Jun/20 $$\begin{cases}{{x}−\sqrt{{yz}}\:=\:\mathrm{42}}\\{{y}−\sqrt{{xz}}\:=\:\mathrm{6}}\\{{z}−\sqrt{{xy}}\:=\:−\mathrm{30}}\end{cases} \\ $$$${find}\:{x}+{y}+{z}\:= \\ $$ Commented by Dwaipayan Shikari last updated on 27/Jun/20 $$\mathrm{x}=\mathrm{54} \\ $$$$\mathrm{y}=\mathrm{24}\:\:\:\:\:\mathrm{z}=\mathrm{6}…

Question-100540

Question Number 100540 by ajfour last updated on 27/Jun/20 Commented by ajfour last updated on 27/Jun/20 $${p},\:{q},\:{r}\:{are}\:{roots}\:{of}\:{equation} \\ $$$${x}^{\mathrm{3}} −{bx}−{c}=\mathrm{0}\:\:,\:\:{b}>\mathrm{0},\:{c}>\mathrm{0} \\ $$$${Find}\:{equation}\:{of}\:{parabola}\:{in} \\ $$$${terms}\:{of}\:{b}\:{and}\:{c}. \\…