01
方程
求解一次、二次、多項式、有理式或根式方程，同時明確保留定義域限制。
代數求解器
algebra solver
x + y = ?
方程
表示式
方程組與不等式
algebra solver
求解你的代數題
在下方輸入代數題。請註明變數、條件和希望使用的方法，以便 AI 給出更有針對性的完整解答。
文本輸入上傳圖片
algebra solver
代數求解器適合解決哪些問題
本頁面圍繞使用者實際搜尋的題型組織，同時嚴格限定在當前文本和圖片求解器能夠完成的範圍內。
x + y
=方程
()表示式
{ }方程組與不等式
x?代數應用題
02
表示式
化簡、展開、因式分解或合併代數表示式，並解釋所使用的相關規則。
03
方程組與不等式
逐步分析方程組、複合不等式及解集表示，不省略不等號方向變化等關鍵步驟。
04
代數應用題
先把文字描述轉換為變數和方程，再進行求解。
步驟
如何使用代數求解器
與只輸入一個孤立的表示式相比，完整的題目通常能得到更有用的講解。
- 1
說明任務
3(2x - 5) = 21輸入完整表示式，並說明需要求解、化簡、展開還是因式分解。
- 2
保留題目結構
6x - 15 = 21無論輸入文字還是上傳圖片，都要確保括號、分數、指數和不等號清晰準確。
- 3
檢查解題方法
6x = 36理解每一步變形為何成立，而不是隻檢視最後一行答案。
- 4
檢驗結果
x = 6 ✓把解代回原題，並檢查被排除的值或其他限制條件。
提示：如果課程指定了解法、定義域或驗算方式，請一併寫明。
例題
可以嘗試的代數題
這些例題體現了常見的搜尋需求，可以直接作為求解器的輸入起點。
例題 1
求解 3(2x - 5) = 21一道檢驗分配律和逆運算的多步驟一次方程。
例題 2
因式分解 x^2 - 5x + 6一道二次表示式題，所選因數對必須同時滿足和與積的條件。
例題 3
一個數與它的兩倍之和為 36，求這個數。一道簡短的應用題，需要先定義變數，再建立方程。
1
方程
f(x) = 02
表示式
(x + 2)(x - 3)3
方程組與不等式
x ∈ (-∞, 4]Formula guides
Understand the formulas used here
Review the related formulas, when to use them, and how they connect in a worked example.
Quadratic Equation Formulas
Learn the essential quadratic equation formulas for solving, checking roots, and graphing a parabola, with one connected example.
Open formula guideSlope Formulas and Forms of a Line
Compare the slope formula, point-slope form, slope-intercept form, standard form, and special horizontal and vertical lines.
Open formula guideExponent Rules
Learn the product, quotient, power, zero, negative, and fractional exponent rules with examples and one complete simplification.
Open formula guideArithmetic Sequence Formulas
Use arithmetic sequence formulas to find the common difference, nth term, recursive rule, and sum of a finite arithmetic series.
Open formula guideGeometric Sequence and Series Formulas
Use geometric sequence formulas to find the common ratio, nth term, recursive rule, finite sum, and convergent infinite sum.
Open formula guide需要注意的常見錯誤
瞭解解題過程中容易遺漏的細節，才能更有效地使用分步答案。
漏掉負號
合併同類項之前，要把負號分配到括號內的每一項。
合併非同類項
只有變數部分及其指數完全相同的項才能合併。
跳過檢驗
方程變形可能引入或掩蓋無效值，因此應回到原題檢驗。
代數求解器常見問題
相關問題
Solve (x^2 + x)/x = 8 and Find 2√x | Rational Equation Solution
Simplify the rational expression (x^2 + x)/x by factoring out x to get x + 1, then solve x + 1 = 8 to find x = 7, so 2√x = 2√7 ≈ 5.29.
Identifying Systems of Inequalities from Graphs: Parabola and Absolute Value
This problem involves determining the correct system of inequalities based on a graph showing a shaded region bounded by a solid parabola and a dashed absolute value function. The solution requires analyzing the line types (solid vs. dashed) to determine strict or non-strict inequalities and identifying the equations of the boundary curves.
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Find the Y-Value of a Linear Function at X = -3
This problem asks to determine the y-value for x = -3 on a linear function. The solution involves identifying the line's equation from its graph, which is y = 2x - 4, and then substituting x = -3 to find the corresponding y-value.
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Find the value of m in the equation 2(m+4)=30 by simplifying and isolating the variable.
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