x(x+4)-3=4(x+195) eching

$$x ( x + 4 ) - 3 = 4 ( x + 195 )$$

x uchun yechish

$$x=3\sqrt{87}\approx 27,982137159$$

$$x=-3\sqrt{87}\approx -27,982137159$$

Kvadrat ildizini topish bo'yicha qadamlar

x ga x+4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x^{2}+4x-3=4\left(x+195\right)$$

4 ga x+195 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x^{2}+4x-3=4x+780$$

Ikkala tarafdan 4x ni ayirish.

$$x^{2}+4x-3-4x=780$$

0 ni olish uchun 4x va -4x ni birlashtirish.

$$x^{2}-3=780$$

3 ni ikki tarafga qo’shing.

$$x^{2}=780+3$$

783 olish uchun 780 va 3'ni qo'shing.

$$x^{2}=783$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=3\sqrt{87} x=-3\sqrt{87}$$

Kvadrat tenglamalaridan foydalanish qoidalari

x ga x+4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x^{2}+4x-3=4\left(x+195\right)$$

4 ga x+195 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x^{2}+4x-3=4x+780$$

Ikkala tarafdan 4x ni ayirish.

$$x^{2}+4x-3-4x=780$$

0 ni olish uchun 4x va -4x ni birlashtirish.

$$x^{2}-3=780$$

Ikkala tarafdan 780 ni ayirish.

$$x^{2}-3-780=0$$

-783 olish uchun -3 dan 780 ni ayirish.

$$x^{2}-783=0$$

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 -783 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-783\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-783\right)}}{2}$$

-4 ni -783 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{3132}}{2}$$

3132 ning kvadrat ildizini chiqarish.

$$x=\frac{0±6\sqrt{87}}{2}$$

x=\frac{0±6\sqrt{87}}{2} tenglamasini yeching, bunda ± musbat.

$$x=3\sqrt{87}$$

x=\frac{0±6\sqrt{87}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-3\sqrt{87}$$

Tenglama yechildi.

$$x=3\sqrt{87} x=-3\sqrt{87}$$