Whakaoti i te 7x^2-28x+35

$$7 x ^ { 2 } - 28 x + 35$$

Tauwehe

$$7\left(x^{2}-4x+5\right)$$

Ngā Upane Otinga

Tauwehea te 7. Kāore te pūrau x^{2}-4x+5 i whakatauwehea i te mea kāhore ōna pūtake whakahau.

$$7\left(x^{2}-4x+5\right)$$

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.

$$7x^{2}-28x+35=0$$

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.

$$x=\frac{-\left(-28\right)±\sqrt{\left(-28\right)^{2}-4\times 7\times 35}}{2\times 7}$$

Pūrua -28.

$$x=\frac{-\left(-28\right)±\sqrt{784-4\times 7\times 35}}{2\times 7}$$

Whakareatia -4 ki te 7.

$$x=\frac{-\left(-28\right)±\sqrt{784-28\times 35}}{2\times 7}$$

Whakareatia -28 ki te 35.

$$x=\frac{-\left(-28\right)±\sqrt{784-980}}{2\times 7}$$

Tāpiri 784 ki te -980.

$$x=\frac{-\left(-28\right)±\sqrt{-196}}{2\times 7}$$

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.

$$7x^{2}-28x+35$$

Aromātai

$$7\left(x^{2}-4x+5\right)$$