z^2=225 eching

$$z ^ { 2 } = 225$$

z uchun yechish

$$z=15$$

$$z=-15$$

Kvadratlar farqidan foydalangan qadamlar

Ikkala tarafdan 225 ni ayirish.

$$z^{2}-225=0$$

Hisoblang: z^{2}-225. z^{2}-225 ni z^{2}-15^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(z-15\right)\left(z+15\right)=0$$

Tenglamani yechish uchun z-15=0 va z+15=0 ni yeching.

$$z=15 z=-15$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$z=15 z=-15$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 225 ni ayirish.

$$z^{2}-225=0$$

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 -225 ni c bilan almashtiring.

$$z=\frac{0±\sqrt{0^{2}-4\left(-225\right)}}{2}$$

0 kvadratini chiqarish.

$$z=\frac{0±\sqrt{-4\left(-225\right)}}{2}$$

-4 ni -225 marotabaga ko'paytirish.

$$z=\frac{0±\sqrt{900}}{2}$$

900 ning kvadrat ildizini chiqarish.

$$z=\frac{0±30}{2}$$

z=\frac{0±30}{2} tenglamasini yeching, bunda ± musbat. 30 ni 2 ga bo'lish.

$$z=15$$

z=\frac{0±30}{2} tenglamasini yeching, bunda ± manfiy. -30 ni 2 ga bo'lish.

$$z=-15$$

Tenglama yechildi.

$$z=15 z=-15$$