Category: Algebra

Question Number 10734 by ABD last updated on 23/Feb/17 $$f(x-1)+f(x+1)=2x^2+6\Rightarrow f\left(x\right)=?$$ Answered by bar Jesús last updated on 23/Feb/17 $$y1=f(x-1)=2{(x-1)}^2+6$$$${y}\mathrm{2}={f}\left({x}+\mathrm{1}\right)=\mathrm{2}\left({x}+\mathrm{1}\right)^{\mathrm{2}}…

Question Number 141794 by mathdanisur last updated on 23/May/21 Commented by JDamian last updated on 23/May/21 $$repeatedquestion141730$$ Commented by mathdanisur last updated on…

Question Number 141781 by gsk2684 last updated on 23/May/21 $$helpmetofindtherootsof$$$$x^5+5x^4+20x^3+60x^2+120x+120=0?$$ Commented by MJS_new last updated on 23/May/21…

Question Number 10694 by ABD last updated on 23/Feb/17 Answered by mrW1 last updated on 23/Feb/17 $$f(3x^4+x^3)=6x^4+2x^3-3=2(3x^4+x^3)-3$$$$\Rightarrow{f}\left({x}\right)=\mathrm{2}{x}−\mathrm{3}…

Question Number 10692 by ABD last updated on 23/Feb/17 $$f(x+y)=f\left(x\right)\times f\left(y\right)$$$$f\left(16\right)=8\Rightarrow f\left(64\right)$$ Answered by nume1114 last updated on 23/Feb/17 $$f\left(64\right)=f((16+16)+(16+16))$$$$\:\:\:\:\:\:\:\:\:\:\:={f}\left(\mathrm{16}+\mathrm{16}\right)×{f}\left(\mathrm{16}+\mathrm{16}\right) \…