Issolvi frac{-145-sqrt{145^2-4-49*199}}{-98}

$$\frac{ -145- \sqrt{ { 145 }^{ 2 } -4-49 \cdot 199 } }{ -98 }$$

Evalwa

$$\frac{\sqrt{230}}{14}+\frac{145}{98}\approx 2.562859757$$

Passi tas-Soluzzjonijiet

Ikkalkula 145 bil-power ta' 2 u tikseb 21025.

$$\frac{-145-\sqrt{21025-4-49\times 199}}{-98}$$

Naqqas 4 minn 21025 biex tikseb 21021.

$$\frac{-145-\sqrt{21021-49\times 199}}{-98}$$

Immultiplika 49 u 199 biex tikseb 9751.

$$\frac{-145-\sqrt{21021-9751}}{-98}$$

Naqqas 9751 minn 21021 biex tikseb 11270.

$$\frac{-145-\sqrt{11270}}{-98}$$

Iffattura 11270=7^{2}\times 230. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{7^{2}\times 230} bħala l-prodott tal-għeruq kwadrati \sqrt{7^{2}}\sqrt{230}. Ħu l-għerq kwadrat ta' 7^{2}.

$$\frac{-145-7\sqrt{230}}{-98}$$

Immultiplika kemm in-numeratur u kif ukoll id-denominatur b’-1.

$$\frac{145+7\sqrt{230}}{98}$$