x^2+400=140*35 eching

$$x ^ { 2 } + 400 = 140 \times 35$$

x uchun yechish

$$x=30\sqrt{5}\approx 67,082039325$$

$$x=-30\sqrt{5}\approx -67,082039325$$

Kvadrat ildizini topish bo'yicha qadamlar

4900 hosil qilish uchun 140 va 35 ni ko'paytirish.

$$x^{2}+400=4900$$

Ikkala tarafdan 400 ni ayirish.

$$x^{2}=4900-400$$

4500 olish uchun 4900 dan 400 ni ayirish.

$$x^{2}=4500$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=30\sqrt{5} x=-30\sqrt{5}$$

Kvadrat tenglamalaridan foydalanish qoidalari

4900 hosil qilish uchun 140 va 35 ni ko'paytirish.

$$x^{2}+400=4900$$

Ikkala tarafdan 4900 ni ayirish.

$$x^{2}+400-4900=0$$

-4500 olish uchun 400 dan 4900 ni ayirish.

$$x^{2}-4500=0$$

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 -4500 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-4500\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-4500\right)}}{2}$$

-4 ni -4500 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{18000}}{2}$$

18000 ning kvadrat ildizini chiqarish.

$$x=\frac{0±60\sqrt{5}}{2}$$

x=\frac{0±60\sqrt{5}}{2} tenglamasini yeching, bunda ± musbat.

$$x=30\sqrt{5}$$

x=\frac{0±60\sqrt{5}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-30\sqrt{5}$$

Tenglama yechildi.

$$x=30\sqrt{5} x=-30\sqrt{5}$$