5x*6x=23 eching

$$5x \cdot 6x = 23$$

x uchun yechish

$$x=\frac{\sqrt{690}}{30}\approx 0,875595036$$

$$x=-\frac{\sqrt{690}}{30}\approx -0,875595036$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$5x^{2}\times 6=23$$

30 hosil qilish uchun 5 va 6 ni ko'paytirish.

$$30x^{2}=23$$

Ikki tarafini 30 ga bo‘ling.

$$x^{2}=\frac{23}{30}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{690}}{30} x=-\frac{\sqrt{690}}{30}$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$5x^{2}\times 6=23$$

30 hosil qilish uchun 5 va 6 ni ko'paytirish.

$$30x^{2}=23$$

Ikkala tarafdan 23 ni ayirish.

$$30x^{2}-23=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 30 ni a, 0 ni b va -23 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 30\left(-23\right)}}{2\times 30}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 30\left(-23\right)}}{2\times 30}$$

-4 ni 30 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-120\left(-23\right)}}{2\times 30}$$

-120 ni -23 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{2760}}{2\times 30}$$

2760 ning kvadrat ildizini chiqarish.

$$x=\frac{0±2\sqrt{690}}{2\times 30}$$

2 ni 30 marotabaga ko'paytirish.

$$x=\frac{0±2\sqrt{690}}{60}$$

x=\frac{0±2\sqrt{690}}{60} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{690}}{30}$$

x=\frac{0±2\sqrt{690}}{60} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{690}}{30}$$

Tenglama yechildi.

$$x=\frac{\sqrt{690}}{30} x=-\frac{\sqrt{690}}{30}$$