24=(xdiv3)*40x eching

$$24=(x \div 3) \times 40x$$

x uchun yechish

$$x = \frac{3 \sqrt{5}}{5} \approx 1,341640786$$

$$x = -\frac{3 \sqrt{5}}{5} \approx -1,341640786$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafini 3 ga ko'paytirish.

$$72=x\times 40x$$

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

$$72=x^{2}\times 40$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$x^{2}\times 40=72$$

Ikki tarafini 40 ga bo‘ling.

$$x^{2}=\frac{72}{40}$$

\frac{72}{40} ulushini 8 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x^{2}=\frac{9}{5}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{3\sqrt{5}}{5} x=-\frac{3\sqrt{5}}{5}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Tenglamaning ikkala tarafini 3 ga ko'paytirish.

$$72=x\times 40x$$

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

$$72=x^{2}\times 40$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$x^{2}\times 40=72$$

Ikkala tarafdan 72 ni ayirish.

$$x^{2}\times 40-72=0$$

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.

$$40x^{2}-72=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 40 ni a, 0 ni b va -72 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 40\left(-72\right)}}{2\times 40}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 40\left(-72\right)}}{2\times 40}$$

-4 ni 40 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-160\left(-72\right)}}{2\times 40}$$

-160 ni -72 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{11520}}{2\times 40}$$

11520 ning kvadrat ildizini chiqarish.

$$x=\frac{0±48\sqrt{5}}{2\times 40}$$

2 ni 40 marotabaga ko'paytirish.

$$x=\frac{0±48\sqrt{5}}{80}$$

x=\frac{0±48\sqrt{5}}{80} tenglamasini yeching, bunda ± musbat.

$$x=\frac{3\sqrt{5}}{5}$$

x=\frac{0±48\sqrt{5}}{80} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{3\sqrt{5}}{5}$$

Tenglama yechildi.

$$x=\frac{3\sqrt{5}}{5} x=-\frac{3\sqrt{5}}{5}$$