38t^2-3403t+65590 eching

$$38 t ^ { 2 } - 3403 t + 65590$$

Omil

$$38\left(t-\frac{3403-\sqrt{1610729}}{76}\right)\left(t-\frac{\sqrt{1610729}+3403}{76}\right)$$

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.

$$38t^{2}-3403t+65590=0$$

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.

$$t=\frac{-\left(-3403\right)±\sqrt{\left(-3403\right)^{2}-4\times 38\times 65590}}{2\times 38}$$

-3403 kvadratini chiqarish.

$$t=\frac{-\left(-3403\right)±\sqrt{11580409-4\times 38\times 65590}}{2\times 38}$$

-4 ni 38 marotabaga ko'paytirish.

$$t=\frac{-\left(-3403\right)±\sqrt{11580409-152\times 65590}}{2\times 38}$$

-152 ni 65590 marotabaga ko'paytirish.

$$t=\frac{-\left(-3403\right)±\sqrt{11580409-9969680}}{2\times 38}$$

11580409 ni -9969680 ga qo'shish.

$$t=\frac{-\left(-3403\right)±\sqrt{1610729}}{2\times 38}$$

-3403 ning teskarisi 3403 ga teng.

$$t=\frac{3403±\sqrt{1610729}}{2\times 38}$$

2 ni 38 marotabaga ko'paytirish.

$$t=\frac{3403±\sqrt{1610729}}{76}$$

t=\frac{3403±\sqrt{1610729}}{76} tenglamasini yeching, bunda ± musbat. 3403 ni \sqrt{1610729} ga qo'shish.

$$t=\frac{\sqrt{1610729}+3403}{76}$$

t=\frac{3403±\sqrt{1610729}}{76} tenglamasini yeching, bunda ± manfiy. 3403 dan \sqrt{1610729} ni ayirish.

$$t=\frac{3403-\sqrt{1610729}}{76}$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun \frac{3403+\sqrt{1610729}}{76} ga va x_{2} uchun \frac{3403-\sqrt{1610729}}{76} ga bo‘ling.

$$38t^{2}-3403t+65590=38\left(t-\frac{\sqrt{1610729}+3403}{76}\right)\left(t-\frac{3403-\sqrt{1610729}}{76}\right)$$

Baholash

$$38t^{2}-3403t+65590$$