Datrys (2020+2022+2023+2024+2025+2033+2039)div13=xx...y

$$(2020+2022+2023+2024+2025+2033+2039) \div 13=xx...y$$

Datrys ar gyfer x

$$x = \frac{\sqrt{184418}}{13} \approx 33.033782242$$

$$x = -\frac{\sqrt{184418}}{13} \approx -33.033782242$$

Camau drwy Ganfod Isradd

Lluoswch ddwy ochr yr hafaliad â 13.

$$2020+2022+2023+2024+2025+2033+2039=13xx$$

Lluosi x a x i gael x^{2}.

$$2020+2022+2023+2024+2025+2033+2039=13x^{2}$$

Adio 2020 a 2022 i gael 4042.

$$4042+2023+2024+2025+2033+2039=13x^{2}$$

Adio 4042 a 2023 i gael 6065.

$$6065+2024+2025+2033+2039=13x^{2}$$

Adio 6065 a 2024 i gael 8089.

$$8089+2025+2033+2039=13x^{2}$$

Adio 8089 a 2025 i gael 10114.

$$10114+2033+2039=13x^{2}$$

Adio 10114 a 2033 i gael 12147.

$$12147+2039=13x^{2}$$

Adio 12147 a 2039 i gael 14186.

$$14186=13x^{2}$$

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$13x^{2}=14186$$

Rhannu’r ddwy ochr â 13.

$$x^{2}=\frac{14186}{13}$$

Cymryd isradd dwy ochr yr hafaliad.

$$x=\frac{\sqrt{184418}}{13} x=-\frac{\sqrt{184418}}{13}$$

Camau gan Ddefnyddio’r Fformiwla Cwadratig

Lluoswch ddwy ochr yr hafaliad â 13.

$$2020+2022+2023+2024+2025+2033+2039=13xx$$

Lluosi x a x i gael x^{2}.

$$2020+2022+2023+2024+2025+2033+2039=13x^{2}$$

Adio 2020 a 2022 i gael 4042.

$$4042+2023+2024+2025+2033+2039=13x^{2}$$

Adio 4042 a 2023 i gael 6065.

$$6065+2024+2025+2033+2039=13x^{2}$$

Adio 6065 a 2024 i gael 8089.

$$8089+2025+2033+2039=13x^{2}$$

Adio 8089 a 2025 i gael 10114.

$$10114+2033+2039=13x^{2}$$

Adio 10114 a 2033 i gael 12147.

$$12147+2039=13x^{2}$$

Adio 12147 a 2039 i gael 14186.

$$14186=13x^{2}$$

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$13x^{2}=14186$$

Tynnu 14186 o'r ddwy ochr.

$$13x^{2}-14186=0$$

Mae’r hafaliad hwn yn y ffurf safonol: ax^{2}+bx+c=0. Amnewidiwch 13 am a, 0 am b, a -14186 am c yn y fformiwla gwadratig, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 13\left(-14186\right)}}{2\times 13}$$

Sgwâr 0.

$$x=\frac{0±\sqrt{-4\times 13\left(-14186\right)}}{2\times 13}$$

Lluoswch -4 â 13.

$$x=\frac{0±\sqrt{-52\left(-14186\right)}}{2\times 13}$$

Lluoswch -52 â -14186.

$$x=\frac{0±\sqrt{737672}}{2\times 13}$$

Cymryd isradd 737672.

$$x=\frac{0±2\sqrt{184418}}{2\times 13}$$

Lluoswch 2 â 13.

$$x=\frac{0±2\sqrt{184418}}{26}$$

Datryswch yr hafaliad x=\frac{0±2\sqrt{184418}}{26} pan fydd ± yn plws.

$$x=\frac{\sqrt{184418}}{13}$$

Datryswch yr hafaliad x=\frac{0±2\sqrt{184418}}{26} pan fydd ± yn minws.

$$x=-\frac{\sqrt{184418}}{13}$$

Mae’r hafaliad wedi’i ddatrys nawr.

$$x=\frac{\sqrt{184418}}{13} x=-\frac{\sqrt{184418}}{13}$$