8x^2=15(18-44) eching

$$8 x ^ { 2 } = 15 ( 18 - 44 )$$

x uchun yechish (complex solution)

$$x=-\frac{\sqrt{195}i}{2}\approx -0-6,982120022i$$

$$x=\frac{\sqrt{195}i}{2}\approx 6,982120022i$$

Kvadrat ildizini topish bo'yicha qadamlar

-26 olish uchun 18 dan 44 ni ayirish.

$$8x^{2}=15\left(-26\right)$$

-390 hosil qilish uchun 15 va -26 ni ko'paytirish.

$$8x^{2}=-390$$

Ikki tarafini 8 ga bo‘ling.

$$x^{2}=\frac{-390}{8}$$

\frac{-390}{8} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x^{2}=-\frac{195}{4}$$

Tenglama yechildi.

$$x=\frac{\sqrt{195}i}{2} x=-\frac{\sqrt{195}i}{2}$$

Kvadrat tenglamalaridan foydalanish qoidalari

-26 olish uchun 18 dan 44 ni ayirish.

$$8x^{2}=15\left(-26\right)$$

-390 hosil qilish uchun 15 va -26 ni ko'paytirish.

$$8x^{2}=-390$$

390 ni ikki tarafga qo’shing.

$$8x^{2}+390=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 8 ni a, 0 ni b va 390 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 8\times 390}}{2\times 8}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 8\times 390}}{2\times 8}$$

-4 ni 8 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-32\times 390}}{2\times 8}$$

-32 ni 390 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-12480}}{2\times 8}$$

-12480 ning kvadrat ildizini chiqarish.

$$x=\frac{0±8\sqrt{195}i}{2\times 8}$$

2 ni 8 marotabaga ko'paytirish.

$$x=\frac{0±8\sqrt{195}i}{16}$$

x=\frac{0±8\sqrt{195}i}{16} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{195}i}{2}$$

x=\frac{0±8\sqrt{195}i}{16} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{195}i}{2}$$

Tenglama yechildi.

$$x=\frac{\sqrt{195}i}{2} x=-\frac{\sqrt{195}i}{2}$$