Lahenda 1024*98*(pi*5^2*x+4/3pi*5^3)=65*10^6

$$1024 \times 98 \times ( \pi \times 5 ^ { 2 } \times x + \frac { 4 } { 3 } \pi \times 5 ^ { 3 } ) = 65 \times 10 ^ { 6 }$$

Lahendage ja leidke x

$$x=\frac{40625}{1568\pi }-\frac{20}{3}\approx 1,580360837$$

Juhised lineaarvõrrandi lahendamiseks

Korrutage 1024 ja 98, et leida 100352.

$$100352\left(\pi \times 5^{2}x+\frac{4}{3}\pi \times 5^{3}\right)=65\times 10^{6}$$

Arvutage 2 aste 5 ja leidke 25.

$$100352\left(\pi \times 25x+\frac{4}{3}\pi \times 5^{3}\right)=65\times 10^{6}$$

Arvutage 3 aste 5 ja leidke 125.

$$100352\left(\pi \times 25x+\frac{4}{3}\pi \times 125\right)=65\times 10^{6}$$

Avaldage \frac{4}{3}\times 125 ühe murdarvuna.

$$100352\left(\pi \times 25x+\frac{4\times 125}{3}\pi \right)=65\times 10^{6}$$

Korrutage 4 ja 125, et leida 500.

$$100352\left(\pi \times 25x+\frac{500}{3}\pi \right)=65\times 10^{6}$$

Kasutage distributiivsusomadust, et korrutada 100352 ja \pi \times 25x+\frac{500}{3}\pi .

$$100352\pi \times 25x+100352\times \frac{500}{3}\pi =65\times 10^{6}$$

Korrutage 100352 ja 25, et leida 2508800.

$$2508800\pi x+100352\times \frac{500}{3}\pi =65\times 10^{6}$$

Avaldage 100352\times \frac{500}{3} ühe murdarvuna.

$$2508800\pi x+\frac{100352\times 500}{3}\pi =65\times 10^{6}$$

Korrutage 100352 ja 500, et leida 50176000.

$$2508800\pi x+\frac{50176000}{3}\pi =65\times 10^{6}$$

Arvutage 6 aste 10 ja leidke 1000000.

$$2508800\pi x+\frac{50176000}{3}\pi =65\times 1000000$$

Korrutage 65 ja 1000000, et leida 65000000.

$$2508800\pi x+\frac{50176000}{3}\pi =65000000$$

Lahutage mõlemast poolest \frac{50176000}{3}\pi .

$$2508800\pi x=65000000-\frac{50176000}{3}\pi$$

Võrrand on standardkujul.

$$2508800\pi x=-\frac{50176000\pi }{3}[phone]$$

Jagage mõlemad pooled 2508800\pi -ga.

$$\frac{2508800\pi x}{2508800\pi }=\frac{-\frac{50176000\pi }{3}[phone]}{2508800\pi }$$

2508800\pi -ga jagamine võtab 2508800\pi -ga korrutamise tagasi.

$$x=\frac{-\frac{50176000\pi }{3}[phone]}{2508800\pi }$$

Jagage 65000000-\frac{50176000\pi }{3} väärtusega 2508800\pi .

$$x=\frac{40625}{1568\pi }-\frac{20}{3}$$