frac{-(-4)+sqrt{(-4)^2-4(1)(-1)}}{2(1)} eching

$$\frac { - ( - 4 ) + \sqrt { ( - 4 ) ^ { 2 } - 4 ( 1 ) ( - 1 ) } } { 2 ( 1 ) }$$

Baholash

$$\sqrt{5}+2\approx 4,236067977$$

Yechim qadamlari

-4 ning teskarisi 4 ga teng.

$$\frac{4+\sqrt{\left(-4\right)^{2}-4\times 1\left(-1\right)}}{2\times 1}$$

2 daraja ko‘rsatkichini -4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{4+\sqrt{16-4\times 1\left(-1\right)}}{2\times 1}$$

4 hosil qilish uchun 4 va 1 ni ko'paytirish.

$$\frac{4+\sqrt{16-4\left(-1\right)}}{2\times 1}$$

-4 hosil qilish uchun 4 va -1 ni ko'paytirish.

$$\frac{4+\sqrt{16-\left(-4\right)}}{2\times 1}$$

-4 ning teskarisi 4 ga teng.

$$\frac{4+\sqrt{16+4}}{2\times 1}$$

20 olish uchun 16 va 4'ni qo'shing.

$$\frac{4+\sqrt{20}}{2\times 1}$$

Faktor: 20=2^{2}\times 5. \sqrt{2^{2}\times 5} koʻpaytmasining kvadrat ildizini \sqrt{2^{2}}\sqrt{5} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2^{2} ning kvadrat ildizini chiqarish.

$$\frac{4+2\sqrt{5}}{2\times 1}$$

2 hosil qilish uchun 2 va 1 ni ko'paytirish.

$$\frac{4+2\sqrt{5}}{2}$$

2+\sqrt{5} natijani olish uchun 4+2\sqrt{5} ning har bir ifodasini 2 ga bo‘ling.

$$2+\sqrt{5}$$

Omil

$$\sqrt{5} + 2 = 4,236067977$$