4x*x=225 eching

$$4x \times x=225$$

x uchun yechish

$$x = \frac{15}{2} = 7\frac{1}{2} = 7,5$$

$$x = -\frac{15}{2} = -7\frac{1}{2} = -7,5$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$4x^{2}=225$$

Ikki tarafini 4 ga bo‘ling.

$$x^{2}=\frac{225}{4}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{15}{2} x=-\frac{15}{2}$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$4x^{2}=225$$

Ikkala tarafdan 225 ni ayirish.

$$4x^{2}-225=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 4 ni a, 0 ni b va -225 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 4\left(-225\right)}}{2\times 4}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 4\left(-225\right)}}{2\times 4}$$

-4 ni 4 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-16\left(-225\right)}}{2\times 4}$$

-16 ni -225 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{3600}}{2\times 4}$$

3600 ning kvadrat ildizini chiqarish.

$$x=\frac{0±60}{2\times 4}$$

2 ni 4 marotabaga ko'paytirish.

$$x=\frac{0±60}{8}$$

x=\frac{0±60}{8} tenglamasini yeching, bunda ± musbat. \frac{60}{8} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{15}{2}$$

x=\frac{0±60}{8} tenglamasini yeching, bunda ± manfiy. \frac{-60}{8} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{15}{2}$$

Tenglama yechildi.

$$x=\frac{15}{2} x=-\frac{15}{2}$$