x에 대한 해
x=\frac{118455359078051916563803951486093011267876770521240512800069}{1558334187683122846608767340464764566236794791146894845050000}\approx 0.076014092
그래프
공유
클립보드에 복사됨
945=\frac{500x\left(1-1.042^{-21}\right)}{0.042}+\frac{1000}{1.042^{21}}
1000x을(를) 2(으)로 나눠서 500x을(를) 구합니다.
945=\frac{500x\left(1-\frac{476837158203125000000000000000000000000000000000000000000}{1131337517030036595575682282995201117819453812281695834921}\right)}{0.042}+\frac{1000}{1.042^{21}}
1.042의 -21제곱을 계산하여 \frac{476837158203125000000000000000000000000000000000000000000}{1131337517030036595575682282995201117819453812281695834921}을(를) 구합니다.
945=\frac{500x\times \frac{654500358826911595575682282995201117819453812281695834921}{1131337517030036595575682282995201117819453812281695834921}}{0.042}+\frac{1000}{1.042^{21}}
1에서 \frac{476837158203125000000000000000000000000000000000000000000}{1131337517030036595575682282995201117819453812281695834921}을(를) 빼고 \frac{654500358826911595575682282995201117819453812281695834921}{1131337517030036595575682282995201117819453812281695834921}을(를) 구합니다.
945=\frac{\frac{327250179413455797787841141497600558909726906140847917460500}{1131337517030036595575682282995201117819453812281695834921}x}{0.042}+\frac{1000}{1.042^{21}}
500과(와) \frac{654500358826911595575682282995201117819453812281695834921}{1131337517030036595575682282995201117819453812281695834921}을(를) 곱하여 \frac{327250179413455797787841141497600558909726906140847917460500}{1131337517030036595575682282995201117819453812281695834921}(을)를 구합니다.
945=\frac{7791670938415614233043836702323822831183973955734474225250000}{1131337517030036595575682282995201117819453812281695834921}x+\frac{1000}{1.042^{21}}
\frac{327250179413455797787841141497600558909726906140847917460500}{1131337517030036595575682282995201117819453812281695834921}x을(를) 0.042(으)로 나눠서 \frac{7791670938415614233043836702323822831183973955734474225250000}{1131337517030036595575682282995201117819453812281695834921}x을(를) 구합니다.
945=\frac{7791670938415614233043836702323822831183973955734474225250000}{1131337517030036595575682282995201117819453812281695834921}x+\frac{1000}{2.372586736514575306484733251147952014637303201334182983596244992}
1.042의 21제곱을 계산하여 2.372586736514575306484733251147952014637303201334182983596244992을(를) 구합니다.
945=\frac{7791670938415614233043836702323822831183973955734474225250000}{1131337517030036595575682282995201117819453812281695834921}x+\frac{1000000000000000000000000000000000000000000000000000000000000000000}{2372586736514575306484733251147952014637303201334182983596244992}
분자와 분모 모두에 1000000000000000000000000000000000000000000000000000000000000000을(를) 곱하여 \frac{1000}{2.372586736514575306484733251147952014637303201334182983596244992}을(를) 확장합니다.
945=\frac{7791670938415614233043836702323822831183973955734474225250000}{1131337517030036595575682282995201117819453812281695834921}x+\frac{476837158203125000000000000000000000000000000000000000000000}{1131337517030036595575682282995201117819453812281695834921}
2097152을(를) 추출 및 상쇄하여 분수 \frac{1000000000000000000000000000000000000000000000000000000000000000000}{2372586736514575306484733251147952014637303201334182983596244992}을(를) 기약 분수로 약분합니다.
\frac{7791670938415614233043836702323822831183973955734474225250000}{1131337517030036595575682282995201117819453812281695834921}x+\frac{476837158203125000000000000000000000000000000000000000000000}{1131337517030036595575682282995201117819453812281695834921}=945
모든 변수 항이 왼쪽에 오도록 위치를 바꿉니다.
\frac{7791670938415614233043836702323822831183973955734474225250000}{1131337517030036595575682282995201117819453812281695834921}x=945-\frac{476837158203125000000000000000000000000000000000000000000000}{1131337517030036595575682282995201117819453812281695834921}
양쪽 모두에서 \frac{476837158203125000000000000000000000000000000000000000000000}{1131337517030036595575682282995201117819453812281695834921}을(를) 뺍니다.
\frac{7791670938415614233043836702323822831183973955734474225250000}{1131337517030036595575682282995201117819453812281695834921}x=\frac{592276795390259582819019757430465056339383852606202564000345}{1131337517030036595575682282995201117819453812281695834921}
945에서 \frac{476837158203125000000000000000000000000000000000000000000000}{1131337517030036595575682282995201117819453812281695834921}을(를) 빼고 \frac{592276795390259582819019757430465056339383852606202564000345}{1131337517030036595575682282995201117819453812281695834921}을(를) 구합니다.
x=\frac{\frac{592276795390259582819019757430465056339383852606202564000345}{1131337517030036595575682282995201117819453812281695834921}}{\frac{7791670938415614233043836702323822831183973955734474225250000}{1131337517030036595575682282995201117819453812281695834921}}
양쪽을 \frac{7791670938415614233043836702323822831183973955734474225250000}{1131337517030036595575682282995201117819453812281695834921}(으)로 나눕니다.
x=\frac{592276795390259582819019757430465056339383852606202564000345}{1131337517030036595575682282995201117819453812281695834921\times \frac{7791670938415614233043836702323822831183973955734474225250000}{1131337517030036595575682282995201117819453812281695834921}}
\frac{\frac{592276795390259582819019757430465056339383852606202564000345}{1131337517030036595575682282995201117819453812281695834921}}{\frac{7791670938415614233043836702323822831183973955734474225250000}{1131337517030036595575682282995201117819453812281695834921}}을(를) 단일 분수로 표현합니다.
x=\frac{592276795390259582819019757430465056339383852606202564000345}{7791670938415614233043836702323822831183973955734474225250000}
1131337517030036595575682282995201117819453812281695834921과(와) \frac{7791670938415614233043836702323822831183973955734474225250000}{1131337517030036595575682282995201117819453812281695834921}을(를) 곱하여 7791670938415614233043836702323822831183973955734474225250000(을)를 구합니다.
x=\frac{118455359078051916563803951486093011267876770521240512800069}{1558334187683122846608767340464764566236794791146894845050000}
5을(를) 추출 및 상쇄하여 분수 \frac{592276795390259582819019757430465056339383852606202564000345}{7791670938415614233043836702323822831183973955734474225250000}을(를) 기약 분수로 약분합니다.
예제
이차방정식
{ x } ^ { 2 } - 4 x - 5 = 0
삼각법
4 \sin \theta \cos \theta = 2 \sin \theta
일차방정식
y = 3x + 4
산수
699 * 533
행렬
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
연립방정식
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
미분
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
적분
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
극한
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}