x/4=8/x eching

$$\frac { x } { 4 } = \frac { 8 } { x }$$

x uchun yechish

$$x=4\sqrt{2}\approx 5,656854249$$

$$x=-4\sqrt{2}\approx -5,656854249$$

Kvadrat ildizini topish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 4x ga, 4,x ning eng kichik karralisiga ko‘paytiring.

$$xx=4\times 8$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$x^{2}=4\times 8$$

32 hosil qilish uchun 4 va 8 ni ko'paytirish.

$$x^{2}=32$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=4\sqrt{2} x=-4\sqrt{2}$$

Kvadrat tenglamalaridan foydalanish qoidalari

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 4x ga, 4,x ning eng kichik karralisiga ko‘paytiring.

$$xx=4\times 8$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$x^{2}=4\times 8$$

32 hosil qilish uchun 4 va 8 ni ko'paytirish.

$$x^{2}=32$$

Ikkala tarafdan 32 ni ayirish.

$$x^{2}-32=0$$

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 -32 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-32\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-32\right)}}{2}$$

-4 ni -32 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{128}}{2}$$

128 ning kvadrat ildizini chiqarish.

$$x=\frac{0±8\sqrt{2}}{2}$$

x=\frac{0±8\sqrt{2}}{2} tenglamasini yeching, bunda ± musbat.

$$x=4\sqrt{2}$$

x=\frac{0±8\sqrt{2}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-4\sqrt{2}$$

Tenglama yechildi.

$$x=4\sqrt{2} x=-4\sqrt{2}$$