Whakaoti i te (1.4+x)(1.4-x)=(x-1.7)(7.6-x)

$$( 1.4 + x ) ( 1.4 - x ) = ( x - 1.7 ) ( 7.6 - x )$$

Whakaoti mō x

$$x=1.6$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakaarohia te \left(1.4+x\right)\left(1.4-x\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Pūrua 1.4.

$$1.96-x^{2}=\left(x-1.7\right)\left(7.6-x\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te x-1.7 ki te 7.6-x ka whakakotahi i ngā kupu rite.

$$1.96-x^{2}=9.3x-x^{2}-12.92$$

Tangohia te 9.3x mai i ngā taha e rua.

$$1.96-x^{2}-9.3x=-x^{2}-12.92$$

Me tāpiri te x^{2} ki ngā taha e rua.

$$1.96-x^{2}-9.3x+x^{2}=-12.92$$

Pahekotia te -x^{2} me x^{2}, ka 0.

$$1.96-9.3x=-12.92$$

Tangohia te 1.96 mai i ngā taha e rua.

$$-9.3x=-12.92-1.96$$

Tangohia te 1.96 i te -12.92, ka -14.88.

$$-9.3x=-14.88$$

Whakawehea ngā taha e rua ki te -9.3.

$$x=\frac{-14.88}{-9.3}$$

Whakarohaina te \frac{-14.88}{-9.3} mā te whakarea i te taurunga me te tauraro ki te 100.

$$x=\frac{-1488}{-930}$$

Whakahekea te hautanga \frac{-1488}{-930} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -186.

$$x=\frac{8}{5}$$