x^2+6x-16=6x eching

$$x ^ { 2 } + 6 x - 16 = 6 x$$

x uchun yechish

$$x=4$$

$$x=-4$$

Kvadratlar farqidan foydalangan qadamlar

Ikkala tarafdan 6x ni ayirish.

$$x^{2}+6x-16-6x=0$$

0 ni olish uchun 6x va -6x ni birlashtirish.

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

Hisoblang: x^{2}-16. x^{2}-16 ni x^{2}-4^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(x-4\right)\left(x+4\right)=0$$

Tenglamani yechish uchun x-4=0 va x+4=0 ni yeching.

$$x=4 x=-4$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 6x ni ayirish.

$$x^{2}+6x-16-6x=0$$

0 ni olish uchun 6x va -6x ni birlashtirish.

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

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

$$x^{2}=16$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=4 x=-4$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 6x ni ayirish.

$$x^{2}+6x-16-6x=0$$

0 ni olish uchun 6x va -6x ni birlashtirish.

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

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 -16 ni c bilan almashtiring.

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

0 kvadratini chiqarish.

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

-4 ni -16 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{64}}{2}$$

64 ning kvadrat ildizini chiqarish.

$$x=\frac{0±8}{2}$$

x=\frac{0±8}{2} tenglamasini yeching, bunda ± musbat. 8 ni 2 ga bo'lish.

$$x=4$$

x=\frac{0±8}{2} tenglamasini yeching, bunda ± manfiy. -8 ni 2 ga bo'lish.

$$x=-4$$

Tenglama yechildi.

$$x=4 x=-4$$