9541x*90(50x*3)=4128 eching

$$9541x \times 90(50x \times 3)=4128$$

x uchun yechish

$$x=\frac{2\sqrt{4102630}}{715575}\approx 0,005661168$$

$$x=-\frac{2\sqrt{4102630}}{715575}\approx -0,005661168$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$9541x^{2}\times 90\times 50\times 3=4128$$

858690 hosil qilish uchun 9541 va 90 ni ko'paytirish.

$$858690x^{2}\times 50\times 3=4128$$

42934500 hosil qilish uchun 858690 va 50 ni ko'paytirish.

$$42934500x^{2}\times 3=4128$$

128803500 hosil qilish uchun 42934500 va 3 ni ko'paytirish.

$$128803500x^{2}=4128$$

Ikki tarafini 128803500 ga bo‘ling.

$$x^{2}=\frac{4128}{128803500}$$

\frac{4128}{128803500} ulushini 12 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x^{2}=\frac{344}{10733625}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{2\sqrt{4102630}}{715575} x=-\frac{2\sqrt{4102630}}{715575}$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$9541x^{2}\times 90\times 50\times 3=4128$$

858690 hosil qilish uchun 9541 va 90 ni ko'paytirish.

$$858690x^{2}\times 50\times 3=4128$$

42934500 hosil qilish uchun 858690 va 50 ni ko'paytirish.

$$42934500x^{2}\times 3=4128$$

128803500 hosil qilish uchun 42934500 va 3 ni ko'paytirish.

$$128803500x^{2}=4128$$

Ikkala tarafdan 4128 ni ayirish.

$$128803500x^{2}-4128=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 128803500 ni a, 0 ni b va -4128 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 128803500\left(-4128\right)}}{2\times 128803500}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 128803500\left(-4128\right)}}{2\times 128803500}$$

-4 ni 128803500 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-515214000\left(-4128\right)}}{2\times 128803500}$$

-515214000 ni -4128 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{2126803392000}}{2\times 128803500}$$

2126803392000 ning kvadrat ildizini chiqarish.

$$x=\frac{0±720\sqrt{4102630}}{2\times 128803500}$$

2 ni 128803500 marotabaga ko'paytirish.

$$x=\frac{0±720\sqrt{4102630}}{257607000}$$

x=\frac{0±720\sqrt{4102630}}{257607000} tenglamasini yeching, bunda ± musbat.

$$x=\frac{2\sqrt{4102630}}{715575}$$

x=\frac{0±720\sqrt{4102630}}{257607000} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{2\sqrt{4102630}}{715575}$$

Tenglama yechildi.

$$x=\frac{2\sqrt{4102630}}{715575} x=-\frac{2\sqrt{4102630}}{715575}$$