588=4*10*h^2/48 eching

$$588 = \frac { 4 \times 10 \times h ^ { 2 } } { 48 }$$

h uchun yechish

$$h = \frac{42 \sqrt{10}}{5} \approx 26,563132345$$

$$h = -\frac{42 \sqrt{10}}{5} \approx -26,563132345$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafini 48 ga ko‘paytiring.

$$588\times 48=4\times 10h^{2}$$

28224 hosil qilish uchun 588 va 48 ni ko'paytirish.

$$28224=4\times 10h^{2}$$

40 hosil qilish uchun 4 va 10 ni ko'paytirish.

$$28224=40h^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$40h^{2}=28224$$

Ikki tarafini 40 ga bo‘ling.

$$h^{2}=\frac{28224}{40}$$

\frac{28224}{40} ulushini 8 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$h^{2}=\frac{3528}{5}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$h=\frac{42\sqrt{10}}{5} h=-\frac{42\sqrt{10}}{5}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafini 48 ga ko‘paytiring.

$$588\times 48=4\times 10h^{2}$$

28224 hosil qilish uchun 588 va 48 ni ko'paytirish.

$$28224=4\times 10h^{2}$$

40 hosil qilish uchun 4 va 10 ni ko'paytirish.

$$28224=40h^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$40h^{2}=28224$$

Ikkala tarafdan 28224 ni ayirish.

$$40h^{2}-28224=0$$

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 -28224 ni c bilan almashtiring.

$$h=\frac{0±\sqrt{0^{2}-4\times 40\left(-28224\right)}}{2\times 40}$$

0 kvadratini chiqarish.

$$h=\frac{0±\sqrt{-4\times 40\left(-28224\right)}}{2\times 40}$$

-4 ni 40 marotabaga ko'paytirish.

$$h=\frac{0±\sqrt{-160\left(-28224\right)}}{2\times 40}$$

-160 ni -28224 marotabaga ko'paytirish.

$$h=\frac{0±\sqrt{4515840}}{2\times 40}$$

4515840 ning kvadrat ildizini chiqarish.

$$h=\frac{0±672\sqrt{10}}{2\times 40}$$

2 ni 40 marotabaga ko'paytirish.

$$h=\frac{0±672\sqrt{10}}{80}$$

h=\frac{0±672\sqrt{10}}{80} tenglamasini yeching, bunda ± musbat.

$$h=\frac{42\sqrt{10}}{5}$$

h=\frac{0±672\sqrt{10}}{80} tenglamasini yeching, bunda ± manfiy.

$$h=-\frac{42\sqrt{10}}{5}$$

Tenglama yechildi.

$$h=\frac{42\sqrt{10}}{5} h=-\frac{42\sqrt{10}}{5}$$