187x^2-40x-12= eching

$$187 x ^ { 2 } - 40 x - 12 =$$

Omil

$$187\left(x-\frac{20-2\sqrt{661}}{187}\right)\left(x-\frac{2\sqrt{661}+20}{187}\right)$$

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.

$$187x^{2}-40x-12=0$$

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.

$$x=\frac{-\left(-40\right)±\sqrt{\left(-40\right)^{2}-4\times 187\left(-12\right)}}{2\times 187}$$

-40 kvadratini chiqarish.

$$x=\frac{-\left(-40\right)±\sqrt{1600-4\times 187\left(-12\right)}}{2\times 187}$$

-4 ni 187 marotabaga ko'paytirish.

$$x=\frac{-\left(-40\right)±\sqrt{1600-748\left(-12\right)}}{2\times 187}$$

-748 ni -12 marotabaga ko'paytirish.

$$x=\frac{-\left(-40\right)±\sqrt{1600+8976}}{2\times 187}$$

1600 ni 8976 ga qo'shish.

$$x=\frac{-\left(-40\right)±\sqrt{10576}}{2\times 187}$$

10576 ning kvadrat ildizini chiqarish.

$$x=\frac{-\left(-40\right)±4\sqrt{661}}{2\times 187}$$

-40 ning teskarisi 40 ga teng.

$$x=\frac{40±4\sqrt{661}}{2\times 187}$$

2 ni 187 marotabaga ko'paytirish.

$$x=\frac{40±4\sqrt{661}}{374}$$

x=\frac{40±4\sqrt{661}}{374} tenglamasini yeching, bunda ± musbat. 40 ni 4\sqrt{661} ga qo'shish.

$$x=\frac{4\sqrt{661}+40}{374}$$

40+4\sqrt{661} ni 374 ga bo'lish.

$$x=\frac{2\sqrt{661}+20}{187}$$

x=\frac{40±4\sqrt{661}}{374} tenglamasini yeching, bunda ± manfiy. 40 dan 4\sqrt{661} ni ayirish.

$$x=\frac{40-4\sqrt{661}}{374}$$

40-4\sqrt{661} ni 374 ga bo'lish.

$$x=\frac{20-2\sqrt{661}}{187}$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun \frac{20+2\sqrt{661}}{187} ga va x_{2} uchun \frac{20-2\sqrt{661}}{187} ga bo‘ling.

$$187x^{2}-40x-12=187\left(x-\frac{2\sqrt{661}+20}{187}\right)\left(x-\frac{20-2\sqrt{661}}{187}\right)$$

Baholash

$$187x^{2}-40x-12$$