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

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

Enrhifo

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

Camau Ateb

Cyfrifo 12 i bŵer 2 a chael 144.

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

Lluosi 4 a 1 i gael 4.

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

Lluosi 4 a -32 i gael -128.

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

Gwrthwyneb -128 yw 128.

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

Adio 144 a 128 i gael 272.

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

Ffactora 272=4^{2}\times 17. Ailysgrifennu ail isradd y lluoswm \sqrt{4^{2}\times 17} fel lluoswm ail israddau \sqrt{4^{2}}\sqrt{17}. Cymryd isradd 4^{2}.

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

Lluosi 2 a 1 i gael 2.

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

Ffactor

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