16x^2-8009+1000=0 eching

$$16 x ^ { 2 } - 8009 + 1000 = 0$$

x uchun yechish

$$x = \frac{\sqrt{7009}}{4} \approx 20,929942666$$

$$x = -\frac{\sqrt{7009}}{4} \approx -20,929942666$$

Kvadrat ildizini topish bo'yicha qadamlar

-7009 olish uchun -8009 va 1000'ni qo'shing.

$$16x^{2}-7009=0$$

7009 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$16x^{2}=7009$$

Ikki tarafini 16 ga bo‘ling.

$$x^{2}=\frac{7009}{16}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{7009}}{4} x=-\frac{\sqrt{7009}}{4}$$

Kvadrat tenglamalaridan foydalanish qoidalari

-7009 olish uchun -8009 va 1000'ni qo'shing.

$$16x^{2}-7009=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 16 ni a, 0 ni b va -7009 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 16\left(-7009\right)}}{2\times 16}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 16\left(-7009\right)}}{2\times 16}$$

-4 ni 16 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-64\left(-7009\right)}}{2\times 16}$$

-64 ni -7009 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{448576}}{2\times 16}$$

448576 ning kvadrat ildizini chiqarish.

$$x=\frac{0±8\sqrt{7009}}{2\times 16}$$

2 ni 16 marotabaga ko'paytirish.

$$x=\frac{0±8\sqrt{7009}}{32}$$

x=\frac{0±8\sqrt{7009}}{32} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{7009}}{4}$$

x=\frac{0±8\sqrt{7009}}{32} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{7009}}{4}$$

Tenglama yechildi.

$$x=\frac{\sqrt{7009}}{4} x=-\frac{\sqrt{7009}}{4}$$