Whakaoti i te (148x^2-582x+58356)

$$( 148 x ^ { 2 } - 582 x + 58356 )$$

Tauwehe

$$2\left(74x^{2}-291x+29178\right)$$

Ngā Upane Otinga

Tauwehea te 2. Kāore te pūrau 74x^{2}-291x+29178 i whakatauwehea i te mea kāhore ōna pūtake whakahau.

$$2\left(74x^{2}-291x+29178\right)$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Ka taea te huamaha pūrua te tauwehe mā te whakamahi i te huringa ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right), ina ko x_{1} me x_{2} ngā otinga o te whārite pūrua ax^{2}+bx+c=0.

$$148x^{2}-582x+58356=0$$

Ko ngā whārite katoa o te āhua ax^{2}+bx+c=0 ka taea te whakaoti mā te whakamahi i te tikanga tātai pūrua: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. E rua ngā otinga ka puta i te tikanga tātai pūrua, ko tētahi ina he tāpiri a ±, ā, ko tētahi ina he tango.

$$x=\frac{-\left(-582\right)±\sqrt{\left(-582\right)^{2}-4\times 148\times 58356}}{2\times 148}$$

Pūrua -582.

$$x=\frac{-\left(-582\right)±\sqrt{338724-4\times 148\times 58356}}{2\times 148}$$

Whakareatia -4 ki te 148.

$$x=\frac{-\left(-582\right)±\sqrt{338724-592\times 58356}}{2\times 148}$$

Whakareatia -592 ki te 58356.

$$x=\frac{-\left(-582\right)±\sqrt{338724-34546752}}{2\times 148}$$

Tāpiri 338724 ki te -34546752.

$$x=\frac{-\left(-582\right)±\sqrt{-34208028}}{2\times 148}$$

Tā te mea e kore te pūrua o tētahi tau tōraro e tautohutia ki te āpure tūturu, kāhore he rongoā. Kāore e taea te pūrau pūrua te whakatauwehe.

$$148x^{2}-582x+58356$$

Aromātai

$$148x^{2}-582x+58356$$