70-2x^2/4=5 eching

$$\frac { 70 - 2 x ^ { 2 } } { 4 } = 5$$

x uchun yechish

$$x=5$$

$$x=-5$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafini 4 ga ko‘paytiring.

$$70-2x^{2}=5\times 4$$

20 hosil qilish uchun 5 va 4 ni ko'paytirish.

$$70-2x^{2}=20$$

Ikkala tarafdan 70 ni ayirish.

$$-2x^{2}=20-70$$

-50 olish uchun 20 dan 70 ni ayirish.

$$-2x^{2}=-50$$

Ikki tarafini -2 ga bo‘ling.

$$x^{2}=\frac{-50}{-2}$$

25 ni olish uchun -50 ni -2 ga bo‘ling.

$$x^{2}=25$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=5 x=-5$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafini 4 ga ko‘paytiring.

$$70-2x^{2}=5\times 4$$

20 hosil qilish uchun 5 va 4 ni ko'paytirish.

$$70-2x^{2}=20$$

Ikkala tarafdan 20 ni ayirish.

$$70-2x^{2}-20=0$$

50 olish uchun 70 dan 20 ni ayirish.

$$50-2x^{2}=0$$

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.

$$-2x^{2}+50=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} -2 ni a, 0 ni b va 50 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-2\right)\times 50}}{2\left(-2\right)}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-2\right)\times 50}}{2\left(-2\right)}$$

-4 ni -2 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{8\times 50}}{2\left(-2\right)}$$

8 ni 50 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{400}}{2\left(-2\right)}$$

400 ning kvadrat ildizini chiqarish.

$$x=\frac{0±20}{2\left(-2\right)}$$

2 ni -2 marotabaga ko'paytirish.

$$x=\frac{0±20}{-4}$$

x=\frac{0±20}{-4} tenglamasini yeching, bunda ± musbat. 20 ni -4 ga bo'lish.

$$x=-5$$

x=\frac{0±20}{-4} tenglamasini yeching, bunda ± manfiy. -20 ni -4 ga bo'lish.

$$x=5$$

Tenglama yechildi.

$$x=-5 x=5$$