7+x*3x=32 eching

$$7+x \times 3x=32$$

x uchun yechish

$$x = \frac{5 \sqrt{3}}{3} \approx 2,886751346$$

$$x = -\frac{5 \sqrt{3}}{3} \approx -2,886751346$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$7+x^{2}\times 3=32$$

Ikkala tarafdan 7 ni ayirish.

$$x^{2}\times 3=32-7$$

25 olish uchun 32 dan 7 ni ayirish.

$$x^{2}\times 3=25$$

Ikki tarafini 3 ga bo‘ling.

$$x^{2}=\frac{25}{3}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{5\sqrt{3}}{3} x=-\frac{5\sqrt{3}}{3}$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$7+x^{2}\times 3=32$$

Ikkala tarafdan 32 ni ayirish.

$$7+x^{2}\times 3-32=0$$

-25 olish uchun 7 dan 32 ni ayirish.

$$-25+x^{2}\times 3=0$$

Bu kabi kvadrat tenglamalarni x^{2} sharti bilan, biroq x shartisiz hamon kvadrat tenglamasidan foydalanib yechish mumkin, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ular standart formulaga solingandan so'ng: ax^{2}+bx+c=0.

$$3x^{2}-25=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 3 ni a, 0 ni b va -25 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 3\left(-25\right)}}{2\times 3}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 3\left(-25\right)}}{2\times 3}$$

-4 ni 3 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-12\left(-25\right)}}{2\times 3}$$

-12 ni -25 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{300}}{2\times 3}$$

300 ning kvadrat ildizini chiqarish.

$$x=\frac{0±10\sqrt{3}}{2\times 3}$$

2 ni 3 marotabaga ko'paytirish.

$$x=\frac{0±10\sqrt{3}}{6}$$

x=\frac{0±10\sqrt{3}}{6} tenglamasini yeching, bunda ± musbat.

$$x=\frac{5\sqrt{3}}{3}$$

x=\frac{0±10\sqrt{3}}{6} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{5\sqrt{3}}{3}$$

Tenglama yechildi.

$$x=\frac{5\sqrt{3}}{3} x=-\frac{5\sqrt{3}}{3}$$