36x^2+8x-16= eching

$$36 x ^ { 2 } + 8 x - 16 =$$

Omil

$$36\left(x-\frac{-\sqrt{37}-1}{9}\right)\left(x-\frac{\sqrt{37}-1}{9}\right)$$

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.

$$36x^{2}+8x-16=0$$

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.

$$x=\frac{-8±\sqrt{8^{2}-4\times 36\left(-16\right)}}{2\times 36}$$

8 kvadratini chiqarish.

$$x=\frac{-8±\sqrt{64-4\times 36\left(-16\right)}}{2\times 36}$$

-4 ni 36 marotabaga ko'paytirish.

$$x=\frac{-8±\sqrt{64-144\left(-16\right)}}{2\times 36}$$

-144 ni -16 marotabaga ko'paytirish.

$$x=\frac{-8±\sqrt{64+2304}}{2\times 36}$$

64 ni 2304 ga qo'shish.

$$x=\frac{-8±\sqrt{2368}}{2\times 36}$$

2368 ning kvadrat ildizini chiqarish.

$$x=\frac{-8±8\sqrt{37}}{2\times 36}$$

2 ni 36 marotabaga ko'paytirish.

$$x=\frac{-8±8\sqrt{37}}{72}$$

x=\frac{-8±8\sqrt{37}}{72} tenglamasini yeching, bunda ± musbat. -8 ni 8\sqrt{37} ga qo'shish.

$$x=\frac{8\sqrt{37}-8}{72}$$

-8+8\sqrt{37} ni 72 ga bo'lish.

$$x=\frac{\sqrt{37}-1}{9}$$

x=\frac{-8±8\sqrt{37}}{72} tenglamasini yeching, bunda ± manfiy. -8 dan 8\sqrt{37} ni ayirish.

$$x=\frac{-8\sqrt{37}-8}{72}$$

-8-8\sqrt{37} ni 72 ga bo'lish.

$$x=\frac{-\sqrt{37}-1}{9}$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun \frac{-1+\sqrt{37}}{9} ga va x_{2} uchun \frac{-1-\sqrt{37}}{9} ga bo‘ling.

$$36x^{2}+8x-16=36\left(x-\frac{\sqrt{37}-1}{9}\right)\left(x-\frac{-\sqrt{37}-1}{9}\right)$$

Baholash

$$36x^{2}+8x-16$$