Whakaoti i te (14+x)(14-x)=(x-17)(76-x)

$$( 14 + x ) ( 14 - x ) = ( x - 17 ) ( 76 - x )$$

Whakaoti mō x

$$x=16$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakaarohia te \left(14+x\right)\left(14-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 14.

$$196-x^{2}=\left(x-17\right)\left(76-x\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te x-17 ki te 76-x ka whakakotahi i ngā kupu rite.

$$196-x^{2}=93x-x^{2}-1292$$

Tangohia te 93x mai i ngā taha e rua.

$$196-x^{2}-93x=-x^{2}-1292$$

Me tāpiri te x^{2} ki ngā taha e rua.

$$196-x^{2}-93x+x^{2}=-1292$$

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

$$196-93x=-1292$$

Tangohia te 196 mai i ngā taha e rua.

$$-93x=-1292-196$$

Tangohia te 196 i te -1292, ka -1488.

$$-93x=-1488$$

Whakawehea ngā taha e rua ki te -93.

$$x=\frac{-1488}{-93}$$

Whakawehea te -1488 ki te -93, kia riro ko 16.

$$x=16$$