Whakaoti mō x
x=3\sqrt{5}\approx 6.708203932
Graph
Tohaina
Kua tāruatia ki te papatopenga
x\times 2\sqrt{5}-5=x\sqrt{5}+10
Tauwehea te 20=2^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 5} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{5}. Tuhia te pūtakerua o te 2^{2}.
x\times 2\sqrt{5}-5-x\sqrt{5}=10
Tangohia te x\sqrt{5} mai i ngā taha e rua.
x\sqrt{5}-5=10
Pahekotia te x\times 2\sqrt{5} me -x\sqrt{5}, ka x\sqrt{5}.
x\sqrt{5}=10+5
Me tāpiri te 5 ki ngā taha e rua.
x\sqrt{5}=15
Tāpirihia te 10 ki te 5, ka 15.
\sqrt{5}x=15
He hanga arowhānui tō te whārite.
\frac{\sqrt{5}x}{\sqrt{5}}=\frac{15}{\sqrt{5}}
Whakawehea ngā taha e rua ki te \sqrt{5}.
x=\frac{15}{\sqrt{5}}
Mā te whakawehe ki te \sqrt{5} ka wetekia te whakareanga ki te \sqrt{5}.
x=3\sqrt{5}
Whakawehe 15 ki te \sqrt{5}.
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