Whakaoti i te kx^2-10x+3=0

$$k x ^ { 2 } - 10 x + 3 = 0$$

Whakaoti mō k

$$k=-\frac{3-10x}{x^{2}}$$

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me tāpiri te 10x ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$kx^{2}+3=10x$$

Tangohia te 3 mai i ngā taha e rua.

$$kx^{2}=10x-3$$

He hanga arowhānui tō te whārite.

$$x^{2}k=10x-3$$

Whakawehea ngā taha e rua ki te x^{2}.

$$\frac{x^{2}k}{x^{2}}=\frac{10x-3}{x^{2}}$$

Mā te whakawehe ki te x^{2} ka wetekia te whakareanga ki te x^{2}.

$$k=\frac{10x-3}{x^{2}}$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}x=\frac{\sqrt{25-3k}+5}{k}\text{; }x=\frac{-\sqrt{25-3k}+5}{k}\text{, }&k\neq 0\\x=\frac{3}{10}\text{, }&k=0\end{matrix}\right.$$

Whakaoti mō x

$$\left\{\begin{matrix}x=\frac{\sqrt{25-3k}+5}{k}\text{; }x=\frac{-\sqrt{25-3k}+5}{k}\text{, }&k\neq 0\text{ and }k\leq \frac{25}{3}\\x=\frac{3}{10}\text{, }&k=0\end{matrix}\right.$$