2*pi*x3/4x=24pi eching

$$2 \times \pi \times x \frac{ 3 }{ 4 } x=24 \pi$$

x uchun yechish

$$x=4$$

$$x=-4$$

Kvadrat ildizini topish bo'yicha qadamlar

\pi ni ikki tarafidan bekor qilish.

$$2x\times \frac{3}{4}x=24$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$2x^{2}\times \frac{3}{4}=24$$

2\times \frac{3}{4} ni yagona kasrga aylantiring.

$$\frac{2\times 3}{4}x^{2}=24$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{6}{4}x^{2}=24$$

\frac{6}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{2}x^{2}=24$$

Ikki tarafini \frac{2}{3} va teskari kasri \frac{3}{2} ga ko‘paytiring.

$$x^{2}=24\times \frac{2}{3}$$

24\times \frac{2}{3} ni yagona kasrga aylantiring.

$$x^{2}=\frac{24\times 2}{3}$$

48 hosil qilish uchun 24 va 2 ni ko'paytirish.

$$x^{2}=\frac{48}{3}$$

16 ni olish uchun 48 ni 3 ga bo‘ling.

$$x^{2}=16$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=4 x=-4$$

Kvadrat tenglamalaridan foydalanish qoidalari

\pi ni ikki tarafidan bekor qilish.

$$2x\times \frac{3}{4}x=24$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$2x^{2}\times \frac{3}{4}=24$$

2\times \frac{3}{4} ni yagona kasrga aylantiring.

$$\frac{2\times 3}{4}x^{2}=24$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{6}{4}x^{2}=24$$

\frac{6}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{2}x^{2}=24$$

Ikkala tarafdan 24 ni ayirish.

$$\frac{3}{2}x^{2}-24=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} \frac{3}{2} ni a, 0 ni b va -24 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times \frac{3}{2}\left(-24\right)}}{2\times \frac{3}{2}}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times \frac{3}{2}\left(-24\right)}}{2\times \frac{3}{2}}$$

-4 ni \frac{3}{2} marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-6\left(-24\right)}}{2\times \frac{3}{2}}$$

-6 ni -24 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{144}}{2\times \frac{3}{2}}$$

144 ning kvadrat ildizini chiqarish.

$$x=\frac{0±12}{2\times \frac{3}{2}}$$

2 ni \frac{3}{2} marotabaga ko'paytirish.

$$x=\frac{0±12}{3}$$

x=\frac{0±12}{3} tenglamasini yeching, bunda ± musbat. 12 ni 3 ga bo'lish.

$$x=4$$

x=\frac{0±12}{3} tenglamasini yeching, bunda ± manfiy. -12 ni 3 ga bo'lish.

$$x=-4$$

Tenglama yechildi.

$$x=4 x=-4$$