Whakaoti i te f(x)=2x+1quadg(x)=5x^2+2x+1quad

$$f ( x ) = 2 x + 1 \quad g ( x ) = 5 x ^ { 2 } + 2 x + 1 \quad$$

Whakaoti mō g

$$g=5x+\frac{1}{x}$$

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 2x mai i ngā taha e rua.

$$1gx=5x^{2}+2x+1-2x$$

Pahekotia te 2x me -2x, ka 0.

$$1gx=5x^{2}+1$$

Whakaraupapatia anō ngā kīanga tau.

$$gx=5x^{2}+1$$

He hanga arowhānui tō te whārite.

$$xg=5x^{2}+1$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xg}{x}=\frac{5x^{2}+1}{x}$$

Mā te whakawehe ki te x ka wetekia te whakareanga ki te x.

$$g=\frac{5x^{2}+1}{x}$$

Whakawehe 5x^{2}+1 ki te x.

$$g=5x+\frac{1}{x}$$

Whakaoti mō x (complex solution)

$$x=\frac{-\sqrt{g^{2}-20}+g}{10}$$

$$x=\frac{\sqrt{g^{2}-20}+g}{10}$$

Whakaoti mō x

$$x=\frac{-\sqrt{g^{2}-20}+g}{10}$$

$$x=\frac{\sqrt{g^{2}-20}+g}{10}\text{, }|g|\geq 2\sqrt{5}$$