frac{-12+-sqrt{12^2-4(1)(-32)}}{2(1)} eching

$$\frac{ -12+- \sqrt{ { 12 }^{ 2 } -4(1)(-32) } }{ 2(1) }$$

Baholash

$$-2\sqrt{17}-6\approx -14,246211251$$

Yechim qadamlari

2 daraja ko‘rsatkichini 12 ga hisoblang va 144 ni qiymatni oling.

$$\frac{-12-\sqrt{144-4\times 1\left(-32\right)}}{2\times 1}$$

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

$$\frac{-12-\sqrt{144-4\left(-32\right)}}{2\times 1}$$

-128 hosil qilish uchun 4 va -32 ni ko'paytirish.

$$\frac{-12-\sqrt{144-\left(-128\right)}}{2\times 1}$$

-128 ning teskarisi 128 ga teng.

$$\frac{-12-\sqrt{144+128}}{2\times 1}$$

272 olish uchun 144 va 128'ni qo'shing.

$$\frac{-12-\sqrt{272}}{2\times 1}$$

Faktor: 272=4^{2}\times 17. \sqrt{4^{2}\times 17} koʻpaytmasining kvadrat ildizini \sqrt{4^{2}}\sqrt{17} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 4^{2} ning kvadrat ildizini chiqarish.

$$\frac{-12-4\sqrt{17}}{2\times 1}$$

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

$$\frac{-12-4\sqrt{17}}{2}$$

Omil

$$2 {(-\sqrt{17} - 3)} = -14,246211251$$