921m^2+11m-2 eching

$$921 m ^ { 2 } + 11 m - 2$$

Omil

$$921\left(m-\frac{-\sqrt{7489}-11}{1842}\right)\left(m-\frac{\sqrt{7489}-11}{1842}\right)$$

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.

$$921m^{2}+11m-2=0$$

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.

$$m=\frac{-11±\sqrt{11^{2}-4\times 921\left(-2\right)}}{2\times 921}$$

11 kvadratini chiqarish.

$$m=\frac{-11±\sqrt{121-4\times 921\left(-2\right)}}{2\times 921}$$

-4 ni 921 marotabaga ko'paytirish.

$$m=\frac{-11±\sqrt{121-3684\left(-2\right)}}{2\times 921}$$

-3684 ni -2 marotabaga ko'paytirish.

$$m=\frac{-11±\sqrt{121+7368}}{2\times 921}$$

121 ni 7368 ga qo'shish.

$$m=\frac{-11±\sqrt{7489}}{2\times 921}$$

2 ni 921 marotabaga ko'paytirish.

$$m=\frac{-11±\sqrt{7489}}{1842}$$

m=\frac{-11±\sqrt{7489}}{1842} tenglamasini yeching, bunda ± musbat. -11 ni \sqrt{7489} ga qo'shish.

$$m=\frac{\sqrt{7489}-11}{1842}$$

m=\frac{-11±\sqrt{7489}}{1842} tenglamasini yeching, bunda ± manfiy. -11 dan \sqrt{7489} ni ayirish.

$$m=\frac{-\sqrt{7489}-11}{1842}$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun \frac{-11+\sqrt{7489}}{1842} ga va x_{2} uchun \frac{-11-\sqrt{7489}}{1842} ga bo‘ling.

$$921m^{2}+11m-2=921\left(m-\frac{\sqrt{7489}-11}{1842}\right)\left(m-\frac{-\sqrt{7489}-11}{1842}\right)$$

Baholash

$$921m^{2}+11m-2$$