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

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

Evalwa

$$-2\sqrt{17}-6\approx -14.246211251$$

Passi tas-Soluzzjonijiet

Ikkalkula 12 bil-power ta' 2 u tikseb 144.

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

Immultiplika 4 u 1 biex tikseb 4.

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

Immultiplika 4 u -32 biex tikseb -128.

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

L-oppost ta' -128 huwa 128.

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

Żid 144 u 128 biex tikseb 272.

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

Iffattura 272=4^{2}\times 17. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{4^{2}\times 17} bħala l-prodott tal-għeruq kwadrati \sqrt{4^{2}}\sqrt{17}. Ħu l-għerq kwadrat ta' 4^{2}.

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

Immultiplika 2 u 1 biex tikseb 2.

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

Fattur

$$2 {(-\sqrt{17} - 3)} = -14.246211251$$