94-4q^2=0 eching

$$94 - 4 q ^ { 2 } = 0$$

q uchun yechish

$$q = \frac{\sqrt{94}}{2} \approx 4,847679857$$

$$q = -\frac{\sqrt{94}}{2} \approx -4,847679857$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 94 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-4q^{2}=-94$$

Ikki tarafini -4 ga bo‘ling.

$$q^{2}=\frac{-94}{-4}$$

\frac{-94}{-4} ulushini -2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$q^{2}=\frac{47}{2}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$q=\frac{\sqrt{94}}{2} q=-\frac{\sqrt{94}}{2}$$

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.

$$-4q^{2}+94=0$$

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 94 ni c bilan almashtiring.

$$q=\frac{0±\sqrt{0^{2}-4\left(-4\right)\times 94}}{2\left(-4\right)}$$

0 kvadratini chiqarish.

$$q=\frac{0±\sqrt{-4\left(-4\right)\times 94}}{2\left(-4\right)}$$

-4 ni -4 marotabaga ko'paytirish.

$$q=\frac{0±\sqrt{16\times 94}}{2\left(-4\right)}$$

16 ni 94 marotabaga ko'paytirish.

$$q=\frac{0±\sqrt{1504}}{2\left(-4\right)}$$

1504 ning kvadrat ildizini chiqarish.

$$q=\frac{0±4\sqrt{94}}{2\left(-4\right)}$$

2 ni -4 marotabaga ko'paytirish.

$$q=\frac{0±4\sqrt{94}}{-8}$$

q=\frac{0±4\sqrt{94}}{-8} tenglamasini yeching, bunda ± musbat.

$$q=-\frac{\sqrt{94}}{2}$$

q=\frac{0±4\sqrt{94}}{-8} tenglamasini yeching, bunda ± manfiy.

$$q=\frac{\sqrt{94}}{2}$$

Tenglama yechildi.

$$q=-\frac{\sqrt{94}}{2} q=\frac{\sqrt{94}}{2}$$