30=x*145x eching

$$30=x \times 145x$$

x uchun yechish

$$x=\frac{\sqrt{174}}{29}\approx 0,454858826$$

$$x=-\frac{\sqrt{174}}{29}\approx -0,454858826$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$30=x^{2}\times 145$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$x^{2}\times 145=30$$

Ikki tarafini 145 ga bo‘ling.

$$x^{2}=\frac{30}{145}$$

\frac{30}{145} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x^{2}=\frac{6}{29}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{174}}{29} x=-\frac{\sqrt{174}}{29}$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$30=x^{2}\times 145$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$x^{2}\times 145=30$$

Ikkala tarafdan 30 ni ayirish.

$$x^{2}\times 145-30=0$$

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.

$$145x^{2}-30=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 145 ni a, 0 ni b va -30 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 145\left(-30\right)}}{2\times 145}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 145\left(-30\right)}}{2\times 145}$$

-4 ni 145 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-580\left(-30\right)}}{2\times 145}$$

-580 ni -30 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{17400}}{2\times 145}$$

17400 ning kvadrat ildizini chiqarish.

$$x=\frac{0±10\sqrt{174}}{2\times 145}$$

2 ni 145 marotabaga ko'paytirish.

$$x=\frac{0±10\sqrt{174}}{290}$$

x=\frac{0±10\sqrt{174}}{290} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{174}}{29}$$

x=\frac{0±10\sqrt{174}}{290} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{174}}{29}$$

Tenglama yechildi.

$$x=\frac{\sqrt{174}}{29} x=-\frac{\sqrt{174}}{29}$$