Whakaoti i te 10x^2-2c-10=0

$$10 { x }^{ 2 } -2c-10=0$$

Whakaoti mō c

$$c=5\left(x^{2}-1\right)$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 10x^{2} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-2c-10=-10x^{2}$$

Me tāpiri te 10 ki ngā taha e rua.

$$-2c=-10x^{2}+10$$

He hanga arowhānui tō te whārite.

$$-2c=10-10x^{2}$$

Whakawehea ngā taha e rua ki te -2.

$$\frac{-2c}{-2}=\frac{10-10x^{2}}{-2}$$

Mā te whakawehe ki te -2 ka wetekia te whakareanga ki te -2.

$$c=\frac{10-10x^{2}}{-2}$$

Whakawehe -10x^{2}+10 ki te -2.

$$c=5x^{2}-5$$

Whakaoti mō x (complex solution)

$$x=-\frac{\sqrt{5\left(c+5\right)}}{5}$$

$$x=\frac{\sqrt{5\left(c+5\right)}}{5}$$

Whakaoti mō x

$$x=\frac{\sqrt{5\left(c+5\right)}}{5}$$

$$x=-\frac{\sqrt{5\left(c+5\right)}}{5}\text{, }c\geq -5$$