x*(-20x+9x)=3100 eching

$$x \cdot ( - 20 x + 9 x ) = 3100$$

x uchun yechish (complex solution)

$$x=-\frac{10\sqrt{341}i}{11}\approx -0-16,787441193i$$

$$x=\frac{10\sqrt{341}i}{11}\approx 16,787441193i$$

Kvadrat ildizini topish bo'yicha qadamlar

-11x ni olish uchun -20x va 9x ni birlashtirish.

$$x\left(-11\right)x=3100$$

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

$$x^{2}\left(-11\right)=3100$$

Ikki tarafini -11 ga bo‘ling.

$$x^{2}=-\frac{3100}{11}$$

Tenglama yechildi.

$$x=\frac{10\sqrt{341}i}{11} x=-\frac{10\sqrt{341}i}{11}$$

Kvadrat tenglamalaridan foydalanish qoidalari

-11x ni olish uchun -20x va 9x ni birlashtirish.

$$x\left(-11\right)x=3100$$

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

$$x^{2}\left(-11\right)=3100$$

Ikkala tarafdan 3100 ni ayirish.

$$x^{2}\left(-11\right)-3100=0$$

Bu kabi kvadrat tenglamalarni x^{2} sharti bilan, biroq x shartisiz hamon kvadrat tenglamasidan foydalanib yechish mumkin, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ular standart formulaga solingandan so'ng: ax^{2}+bx+c=0.

$$-11x^{2}-3100=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} -11 ni a, 0 ni b va -3100 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-11\right)\left(-3100\right)}}{2\left(-11\right)}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-11\right)\left(-3100\right)}}{2\left(-11\right)}$$

-4 ni -11 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{44\left(-3100\right)}}{2\left(-11\right)}$$

44 ni -3100 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-136400}}{2\left(-11\right)}$$

-136400 ning kvadrat ildizini chiqarish.

$$x=\frac{0±20\sqrt{341}i}{2\left(-11\right)}$$

2 ni -11 marotabaga ko'paytirish.

$$x=\frac{0±20\sqrt{341}i}{-22}$$

x=\frac{0±20\sqrt{341}i}{-22} tenglamasini yeching, bunda ± musbat.

$$x=-\frac{10\sqrt{341}i}{11}$$

x=\frac{0±20\sqrt{341}i}{-22} tenglamasini yeching, bunda ± manfiy.

$$x=\frac{10\sqrt{341}i}{11}$$

Tenglama yechildi.

$$x=-\frac{10\sqrt{341}i}{11} x=\frac{10\sqrt{341}i}{11}$$