z^2-25*10^-12+16*10^-12=0 eching

$${ z }^{ 2 } -25 \times { 10 }^{ -12 } +16 \times { 10 }^{ -12 } = 0$$

z uchun yechish

$$z=\frac{3}{1000000}=0,000003$$

$$z=-\frac{3}{1000000}=-0,000003$$

Kvadrat ildizini topish bo'yicha qadamlar

-12 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{1000000000000} ni qiymatni oling.

$$z^{2}-25\times \frac{1}{1000000000000}+16\times 10^{-12}=0$$

\frac{1}{40000000000} hosil qilish uchun 25 va \frac{1}{1000000000000} ni ko'paytirish.

$$z^{2}-\frac{1}{40000000000}+16\times 10^{-12}=0$$

-12 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{1000000000000} ni qiymatni oling.

$$z^{2}-\frac{1}{40000000000}+16\times \frac{1}{1000000000000}=0$$

\frac{1}{62500000000} hosil qilish uchun 16 va \frac{1}{1000000000000} ni ko'paytirish.

$$z^{2}-\frac{1}{40000000000}+\frac{1}{62500000000}=0$$

-\frac{9}{1000000000000} olish uchun -\frac{1}{40000000000} va \frac{1}{62500000000}'ni qo'shing.

$$z^{2}-\frac{9}{1000000000000}=0$$

\frac{9}{1000000000000} ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$z^{2}=\frac{9}{1000000000000}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$z=\frac{3}{1000000} z=-\frac{3}{1000000}$$

Kvadrat tenglamalaridan foydalanish qoidalari

-12 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{1000000000000} ni qiymatni oling.

$$z^{2}-25\times \frac{1}{1000000000000}+16\times 10^{-12}=0$$

\frac{1}{40000000000} hosil qilish uchun 25 va \frac{1}{1000000000000} ni ko'paytirish.

$$z^{2}-\frac{1}{40000000000}+16\times 10^{-12}=0$$

-12 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{1000000000000} ni qiymatni oling.

$$z^{2}-\frac{1}{40000000000}+16\times \frac{1}{1000000000000}=0$$

\frac{1}{62500000000} hosil qilish uchun 16 va \frac{1}{1000000000000} ni ko'paytirish.

$$z^{2}-\frac{1}{40000000000}+\frac{1}{62500000000}=0$$

-\frac{9}{1000000000000} olish uchun -\frac{1}{40000000000} va \frac{1}{62500000000}'ni qo'shing.

$$z^{2}-\frac{9}{1000000000000}=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 1 ni a, 0 ni b va -\frac{9}{1000000000000} ni c bilan almashtiring.

$$z=\frac{0±\sqrt{0^{2}-4\left(-\frac{9}{1000000000000}\right)}}{2}$$

0 kvadratini chiqarish.

$$z=\frac{0±\sqrt{-4\left(-\frac{9}{1000000000000}\right)}}{2}$$

-4 ni -\frac{9}{1000000000000} marotabaga ko'paytirish.

$$z=\frac{0±\sqrt{\frac{9}{250000000000}}}{2}$$

\frac{9}{250000000000} ning kvadrat ildizini chiqarish.

$$z=\frac{0±\frac{3}{500000}}{2}$$

z=\frac{0±\frac{3}{500000}}{2} tenglamasini yeching, bunda ± musbat.

$$z=\frac{3}{1000000}$$

z=\frac{0±\frac{3}{500000}}{2} tenglamasini yeching, bunda ± manfiy.

$$z=-\frac{3}{1000000}$$

Tenglama yechildi.

$$z=\frac{3}{1000000} z=-\frac{3}{1000000}$$