Упростите выражение [tex] \sqrt{4x^{2} - 4x+1} [/tex] , если а)x

tex] , если а)x

Verified answer

$4x^2-4x+1=4(x^2-x)+1=4(\, (x-\frac{1}{2})^2-\frac{1}{4}\, )+1=\\\\=4(x-\frac{1}{2})^2-1+1=4(x-\frac{1}{2})^2=4(x-0,5)^2\\\\a)\; \; x\ \textless \ 0,5\; \; \to \; (x-0,5)\ \textless \ 0\\\\\sqrt{4x^2-x+1}=\sqrt{4(x-0,5)^2}=2\cdot |x-0,5|=2\cdot (0,5-x)=1-2x\\\\b)\; \; x \geq 0,5\; \; \to \; \; (x-0,5) \geq 0\\\\\sqrt{4x^2-4x+1}=\sqrt{4(x-0,5)^2}=2\cdot |x-0,5|=2(x-0,5)=2x-1$

Answers & Comments

Verified answer

9=_________...

5 celyh 3 celyh 4 sedmyh skolko budet

scoter,cooks breakfast and lunch,does the washing up. exampel:My mother cooks br...

postavit glagoly v proshloe vremya vot oni toropitsya ne kuda dumaet on ne p

vyberi pravilnoe slovo i obvedi ego bukvuexamplemy brother likes tob1f5f683e33018fbcfc8dd3e34dac09a3 6697

blic turnir u peti i aleshi vmeste h rublej prichem u peti na u rub menshe chem u

vyrazi v ukazannyh edinicah izmereniya9m 4dmdm9m 4smsm9m 4mmmm9

1privedi primer yavlenij svyazanyh s vrasheniem zemli vokrug svoej osi

pomogite pozhalujsta variant 11b3714ad8f7fd3259eaea0878742a54a 95147

tex]...

рекомендуемые вопросы

Helpful Links

Helpful Social