4-36x^2=0 eching

$$4-36 { x }^{ 2 } =0$$

x uchun yechish

$$x=\frac{1}{3}\approx 0,333333333$$

$$x=-\frac{1}{3}\approx -0,333333333$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$-36x^{2}=-4$$

Ikki tarafini -36 ga bo‘ling.

$$x^{2}=\frac{-4}{-36}$$

\frac{-4}{-36} ulushini -4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x^{2}=\frac{1}{9}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{1}{3} x=-\frac{1}{3}$$

Kvadrat tenglamalaridan foydalanish qoidalari

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.

$$-36x^{2}+4=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} -36 ni a, 0 ni b va 4 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-36\right)\times 4}}{2\left(-36\right)}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-36\right)\times 4}}{2\left(-36\right)}$$

-4 ni -36 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{144\times 4}}{2\left(-36\right)}$$

144 ni 4 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{576}}{2\left(-36\right)}$$

576 ning kvadrat ildizini chiqarish.

$$x=\frac{0±24}{2\left(-36\right)}$$

2 ni -36 marotabaga ko'paytirish.

$$x=\frac{0±24}{-72}$$

x=\frac{0±24}{-72} tenglamasini yeching, bunda ± musbat. \frac{24}{-72} ulushini 24 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{1}{3}$$

x=\frac{0±24}{-72} tenglamasini yeching, bunda ± manfiy. \frac{-24}{-72} ulushini 24 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{1}{3}$$

Tenglama yechildi.

$$x=-\frac{1}{3} x=\frac{1}{3}$$