4/x^2+45=0 eching

$$\frac{ 4 }{ { x }^{ 2 } } +45=0$$

x uchun yechish (complex solution)

$$x=-\frac{2\sqrt{5}i}{15}\approx -0-0,298142397i$$

$$x=\frac{2\sqrt{5}i}{15}\approx 0,298142397i$$

Kvadrat ildizini topish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x^{2} ga ko'paytirish.

$$4+x^{2}\times 45=0$$

Ikkala tarafdan 4 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$x^{2}\times 45=-4$$

Ikki tarafini 45 ga bo‘ling.

$$x^{2}=-\frac{4}{45}$$

Tenglama yechildi.

$$x=\frac{2\sqrt{5}i}{15} x=-\frac{2\sqrt{5}i}{15}$$

Kvadrat tenglamalaridan foydalanish qoidalari

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x^{2} ga ko'paytirish.

$$4+x^{2}\times 45=0$$

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.

$$45x^{2}+4=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 45 ni a, 0 ni b va 4 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 45\times 4}}{2\times 45}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 45\times 4}}{2\times 45}$$

-4 ni 45 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-180\times 4}}{2\times 45}$$

-180 ni 4 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-720}}{2\times 45}$$

-720 ning kvadrat ildizini chiqarish.

$$x=\frac{0±12\sqrt{5}i}{2\times 45}$$

2 ni 45 marotabaga ko'paytirish.

$$x=\frac{0±12\sqrt{5}i}{90}$$

x=\frac{0±12\sqrt{5}i}{90} tenglamasini yeching, bunda ± musbat.

$$x=\frac{2\sqrt{5}i}{15}$$

x=\frac{0±12\sqrt{5}i}{90} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{2\sqrt{5}i}{15}$$

Tenglama yechildi.

$$x=\frac{2\sqrt{5}i}{15} x=-\frac{2\sqrt{5}i}{15}$$