Category: Algebra

Question Number 126180 by benjo_mathlover last updated on 18/Dec/20 $$solve\mid \mid x-1\mid -2\mid =\mid x-3\mid$$ Answered by bobhans last updated on 18/Dec/20 $$\left(1\right)forx⩾3\Rightarrow \mid x-3\mid =x-3$$$$\left(2\right)forx<3\Rightarrow \mid 1-x-2\mid =3-x$$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mid−\mathrm{1}−{x}\mid\:=\:\mathrm{3}−{x} \…

Question Number 126165 by TheMexicanTacosG last updated on 17/Dec/20 $$if:b^2=-3-c^2+2(a-b-c)-a^2$$$$$$$$calculate:a+b+c=?$$ Commented by PRITHWISH SEN 2 last updated…

Question Number 191675 by MATHEMATICSAM last updated on 28/Apr/23 $$\mathrm{Solve}\mathrm{for}x:$$$${(x-\frac{1}{x})}^{\frac{1}{2}}+{(1-\frac{1}{x})}^{\frac{1}{2}}=x$$ Commented by mehdee42 last updated on 29/Apr/23 $${the}\:{graph}\:{of}\:{the}\:{function}\:{is}\:{as}\:{follows}.{therefore}\:.{the}\:{given}\:\: \…

Question Number 126109 by mnjuly1970 last updated on 17/Dec/20 $$\dots .nicecalculus\dots$$$$verifythat::\mathrm{A}=\frac{\sqrt[3]{2+\sqrt{5}}}{1+\sqrt{5}}is$$$$arationalnumber\dots$$ Answered by som(math1967) last updated on 17/Dec/20 $$\frac{\sqrt[{\mathrm{3}}]{\mathrm{8}\left(\mathrm{2}+\sqrt{\left.\mathrm{5}\right)}\right.}}{\left(\mathrm{1}+\sqrt{\mathrm{5}}\right)×\mathrm{2}} \…

Question Number 126105 by Mathgreat last updated on 17/Dec/20 $$1⩽a;b;c;d⩽2$$$$\mid (1-a)(1-b)(1-c)(1-d)\mid ⩽\frac{abcd}{4}$$ Commented by Mathgreat last updated on 17/Dec/20 $$\mathit{p}\mathit{r}\mathit{o}\mathit{v}\mathit{e}$$ Answered…