y^2+3y-21 eching

$$y ^ { 2 } + 3 y - 21$$

Omil

$$\left(y-\frac{-\sqrt{93}-3}{2}\right)\left(y-\frac{\sqrt{93}-3}{2}\right)$$

Kvadrat tenglamalaridan foydalanish qoidalari

Kvadrat koʻp tenglama bu orqali hisoblanadi: ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right), bu yerda x_{1} va x_{2} ax^{2}+bx+c=0 kvadrat tenglamaning yechimlari.

$$y^{2}+3y-21=0$$

ax^{2}+bx+c=0 shaklidagi barcha tenglamalarni kvadrat formulasi bilan yechish mumkin: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. Kvadrat formula ikki yechmni taqdim qiladi, biri ± qo'shish bo'lganda, va ikkinchisi ayiruv bo'lganda.

$$y=\frac{-3±\sqrt{3^{2}-4\left(-21\right)}}{2}$$

3 kvadratini chiqarish.

$$y=\frac{-3±\sqrt{9-4\left(-21\right)}}{2}$$

-4 ni -21 marotabaga ko'paytirish.

$$y=\frac{-3±\sqrt{9+84}}{2}$$

9 ni 84 ga qo'shish.

$$y=\frac{-3±\sqrt{93}}{2}$$

y=\frac{-3±\sqrt{93}}{2} tenglamasini yeching, bunda ± musbat. -3 ni \sqrt{93} ga qo'shish.

$$y=\frac{\sqrt{93}-3}{2}$$

y=\frac{-3±\sqrt{93}}{2} tenglamasini yeching, bunda ± manfiy. -3 dan \sqrt{93} ni ayirish.

$$y=\frac{-\sqrt{93}-3}{2}$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun \frac{-3+\sqrt{93}}{2} ga va x_{2} uchun \frac{-3-\sqrt{93}}{2} ga bo‘ling.

$$y^{2}+3y-21=\left(y-\frac{\sqrt{93}-3}{2}\right)\left(y-\frac{-\sqrt{93}-3}{2}\right)$$

Baholash

$$y^{2}+3y-21$$