2=15x^2-24 eching

$$2 = 15 x ^ { 2 } - 24$$

x uchun yechish

$$x = \frac{\sqrt{390}}{15} \approx 1,316561177$$

$$x = -\frac{\sqrt{390}}{15} \approx -1,316561177$$

Kvadrat ildizini topish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$15x^{2}-24=2$$

24 ni ikki tarafga qo’shing.

$$15x^{2}=2+24$$

26 olish uchun 2 va 24'ni qo'shing.

$$15x^{2}=26$$

Ikki tarafini 15 ga bo‘ling.

$$x^{2}=\frac{26}{15}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{390}}{15} x=-\frac{\sqrt{390}}{15}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$15x^{2}-24=2$$

Ikkala tarafdan 2 ni ayirish.

$$15x^{2}-24-2=0$$

-26 olish uchun -24 dan 2 ni ayirish.

$$15x^{2}-26=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 15 ni a, 0 ni b va -26 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 15\left(-26\right)}}{2\times 15}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 15\left(-26\right)}}{2\times 15}$$

-4 ni 15 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-60\left(-26\right)}}{2\times 15}$$

-60 ni -26 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{1560}}{2\times 15}$$

1560 ning kvadrat ildizini chiqarish.

$$x=\frac{0±2\sqrt{390}}{2\times 15}$$

2 ni 15 marotabaga ko'paytirish.

$$x=\frac{0±2\sqrt{390}}{30}$$

x=\frac{0±2\sqrt{390}}{30} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{390}}{15}$$

x=\frac{0±2\sqrt{390}}{30} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{390}}{15}$$

Tenglama yechildi.

$$x=\frac{\sqrt{390}}{15} x=-\frac{\sqrt{390}}{15}$$