frac{4pmsqrt{-4^2-4*(-3)*39}}{2*(-3)}=frac{4pmsqrt{-16+468}}{-6} eching

$$\frac { 4 \pm \sqrt { - 4 ^ { 2 } - 4 \cdot ( - 3 ) \cdot 39 } } { 2 \cdot ( - 3 ) } = \frac { 4 \pm \sqrt { - 16 + 468 } } { - 6 }$$

Tasdiqlamoq

Yechim qadamlari

Tenglamaning ikkala tarafini -6 ga ko'paytirish.

$$4±\sqrt{-4^{2}-4\left(-3\right)\times 39}=4±\sqrt{-16+468}$$

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

$$4±\sqrt{-16-4\left(-3\right)\times 39}=4±\sqrt{-16+468}$$

-12 hosil qilish uchun 4 va -3 ni ko'paytirish.

$$4±\sqrt{-16-\left(-12\times 39\right)}=4±\sqrt{-16+468}$$

-468 hosil qilish uchun -12 va 39 ni ko'paytirish.

$$4±\sqrt{-16-\left(-468\right)}=4±\sqrt{-16+468}$$

-468 ning teskarisi 468 ga teng.

$$4±\sqrt{-16+468}=4±\sqrt{-16+468}$$

452 olish uchun -16 va 468'ni qo'shing.

$$4±\sqrt{452}=4±\sqrt{-16+468}$$

Faktor: 452=2^{2}\times 113. \sqrt{2^{2}\times 113} koʻpaytmasining kvadrat ildizini \sqrt{2^{2}}\sqrt{113} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2^{2} ning kvadrat ildizini chiqarish.

$$4±2\sqrt{113}=4±\sqrt{-16+468}$$

452 olish uchun -16 va 468'ni qo'shing.

$$4±2\sqrt{113}=4±\sqrt{452}$$

Faktor: 452=2^{2}\times 113. \sqrt{2^{2}\times 113} koʻpaytmasining kvadrat ildizini \sqrt{2^{2}}\sqrt{113} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2^{2} ning kvadrat ildizini chiqarish.

$$4±2\sqrt{113}=4±2\sqrt{113}$$

Ikkala tarafdan 4±2\sqrt{113} ni ayirish.

$$4±2\sqrt{113}-\left(4±2\sqrt{113}\right)=0$$

0 ni olish uchun 4±2\sqrt{113} va -\left(4±2\sqrt{113}\right) ni birlashtirish.

$$0=0$$

0 va 0 ni taqqoslang.

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