x^2-5000002x+10 eching

$${ x }^{ 2 } -5000002x+10$$

Omil

$$\left(x-\left(2500001-3\sqrt{694444999999}\right)\right)\left(x-\left(3\sqrt{694444999999}+2500001\right)\right)$$

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.

$$x^{2}-5000002x+10=0$$

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.

$$x=\frac{-\left(-5000002\right)±\sqrt{\left(-5000002\right)^{2}-4\times 10}}{2}$$

-5000002 kvadratini chiqarish.

$$x=\frac{-\left(-5000002\right)±\sqrt{25000020000004-4\times 10}}{2}$$

-4 ni 10 marotabaga ko'paytirish.

$$x=\frac{-\left(-5000002\right)±\sqrt{25000020000004-40}}{2}$$

25000020000004 ni -40 ga qo'shish.

$$x=\frac{-\left(-5000002\right)±\sqrt{25000019999964}}{2}$$

25000019999964 ning kvadrat ildizini chiqarish.

$$x=\frac{-\left(-5000002\right)±6\sqrt{694444999999}}{2}$$

-5000002 ning teskarisi 5000002 ga teng.

$$x=\frac{5000002±6\sqrt{694444999999}}{2}$$

x=\frac{5000002±6\sqrt{694444999999}}{2} tenglamasini yeching, bunda ± musbat. 5000002 ni 6\sqrt{694444999999} ga qo'shish.

$$x=\frac{6\sqrt{694444999999}+5000002}{2}$$

5000002+6\sqrt{694444999999} ni 2 ga bo'lish.

$$x=3\sqrt{694444999999}+2500001$$

x=\frac{5000002±6\sqrt{694444999999}}{2} tenglamasini yeching, bunda ± manfiy. 5000002 dan 6\sqrt{694444999999} ni ayirish.

$$x=\frac{5000002-6\sqrt{694444999999}}{2}$$

5000002-6\sqrt{694444999999} ni 2 ga bo'lish.

$$x=2500001-3\sqrt{694444999999}$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun 2500001+3\sqrt{694444999999} ga va x_{2} uchun 2500001-3\sqrt{694444999999} ga bo‘ling.

$$x^{2}-5000002x+10=\left(x-\left(3\sqrt{694444999999}+2500001\right)\right)\left(x-\left(2500001-3\sqrt{694444999999}\right)\right)$$

Baholash

$$x^{2}-5000002x+10$$