x^2+04x-748=0 eching

$$x ^ { 2 } + 04 x - 748 = 0$$

x uchun yechish

$$x=2\sqrt{187}\approx 27,349588662$$

$$x=-2\sqrt{187}\approx -27,349588662$$

Kvadrat ildizini topish bo'yicha qadamlar

0 hosil qilish uchun 0 va 4 ni ko'paytirish.

$$x^{2}+0x-748=0$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$x^{2}+0-748=0$$

-748 olish uchun 0 dan 748 ni ayirish.

$$x^{2}-748=0$$

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

$$x^{2}=748$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=2\sqrt{187} x=-2\sqrt{187}$$

Kvadrat tenglamalaridan foydalanish qoidalari

0 hosil qilish uchun 0 va 4 ni ko'paytirish.

$$x^{2}+0x-748=0$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$x^{2}+0-748=0$$

-748 olish uchun 0 dan 748 ni ayirish.

$$x^{2}-748=0$$

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 -748 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-748\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-748\right)}}{2}$$

-4 ni -748 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{2992}}{2}$$

2992 ning kvadrat ildizini chiqarish.

$$x=\frac{0±4\sqrt{187}}{2}$$

x=\frac{0±4\sqrt{187}}{2} tenglamasini yeching, bunda ± musbat.

$$x=2\sqrt{187}$$

x=\frac{0±4\sqrt{187}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-2\sqrt{187}$$

Tenglama yechildi.

$$x=2\sqrt{187} x=-2\sqrt{187}$$