y^2+6=90 eching

$$y ^ { 2 } + 6 = 90$$

y uchun yechish

$$y=2\sqrt{21}\approx 9,16515139$$

$$y=-2\sqrt{21}\approx -9,16515139$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 6 ni ayirish.

$$y^{2}=90-6$$

84 olish uchun 90 dan 6 ni ayirish.

$$y^{2}=84$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$y=2\sqrt{21} y=-2\sqrt{21}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 90 ni ayirish.

$$y^{2}+6-90=0$$

-84 olish uchun 6 dan 90 ni ayirish.

$$y^{2}-84=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 1 ni a, 0 ni b va -84 ni c bilan almashtiring.

$$y=\frac{0±\sqrt{0^{2}-4\left(-84\right)}}{2}$$

0 kvadratini chiqarish.

$$y=\frac{0±\sqrt{-4\left(-84\right)}}{2}$$

-4 ni -84 marotabaga ko'paytirish.

$$y=\frac{0±\sqrt{336}}{2}$$

336 ning kvadrat ildizini chiqarish.

$$y=\frac{0±4\sqrt{21}}{2}$$

y=\frac{0±4\sqrt{21}}{2} tenglamasini yeching, bunda ± musbat.

$$y=2\sqrt{21}$$

y=\frac{0±4\sqrt{21}}{2} tenglamasini yeching, bunda ± manfiy.

$$y=-2\sqrt{21}$$

Tenglama yechildi.

$$y=2\sqrt{21} y=-2\sqrt{21}$$