方程
求解一次、二次、多项式、有理式或根式方程,同时明确保留定义域限制。
algebra solver
方程
表达式
方程组与不等式
在下方输入代数题。请注明变量、条件和希望使用的方法,以便 AI 给出更有针对性的完整解答。
algebra solver
本页面围绕用户实际搜索的题型组织,同时严格限定在当前文本和图片求解器能够完成的范围内。
求解一次、二次、多项式、有理式或根式方程,同时明确保留定义域限制。
化简、展开、因式分解或合并代数表达式,并解释所使用的相关规则。
逐步分析方程组、复合不等式及解集表示,不省略不等号方向变化等关键步骤。
先把文字描述转换为变量和方程,再进行求解。
步骤
与只输入一个孤立的表达式相比,完整的题目通常能得到更有用的讲解。
3(2x - 5) = 21输入完整表达式,并说明需要求解、化简、展开还是因式分解。
6x - 15 = 21无论输入文字还是上传图片,都要确保括号、分数、指数和不等号清晰准确。
6x = 36理解每一步变形为何成立,而不是只查看最后一行答案。
x = 6 ✓把解代回原题,并检查被排除的值或其他限制条件。
提示:如果课程指定了解法、定义域或验算方式,请一并写明。
例题
这些例题体现了常见的搜索需求,可以直接作为求解器的输入起点。
例题 1
求解 3(2x - 5) = 21一道检验分配律和逆运算的多步骤一次方程。
例题 2
因式分解 x^2 - 5x + 6一道二次表达式题,所选因数对必须同时满足和与积的条件。
例题 3
一个数与它的两倍之和为 36,求这个数。一道简短的应用题,需要先定义变量,再建立方程。
f(x) = 0(x + 2)(x - 3)x ∈ (-∞, 4]Formula guides
Review the related formulas, when to use them, and how they connect in a worked example.
Learn the essential quadratic equation formulas for solving, checking roots, and graphing a parabola, with one connected example.
Open formula guideCompare the slope formula, point-slope form, slope-intercept form, standard form, and special horizontal and vertical lines.
Open formula guideLearn the product, quotient, power, zero, negative, and fractional exponent rules with examples and one complete simplification.
Open formula guideUse arithmetic sequence formulas to find the common difference, nth term, recursive rule, and sum of a finite arithmetic series.
Open formula guideUse geometric sequence formulas to find the common ratio, nth term, recursive rule, finite sum, and convergent infinite sum.
Open formula guide了解解题过程中容易遗漏的细节,才能更有效地使用分步答案。
合并同类项之前,要把负号分配到括号内的每一项。
只有变量部分及其指数完全相同的项才能合并。
方程变形可能引入或掩盖无效值,因此应回到原题检验。
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.
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.
This problem involves solving the cubic equation 2x^3 + 2x^2 - 24x = 0 by factoring out the greatest common factor and then factoring the resulting quadratic expression.
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.
Find the value of m in the equation 2(m+4)=30 by simplifying and isolating the variable.
The graph shows a dashed boundary line passing through (0, -3) and (3, -2) with the region above it shaded. By calculating the slope of 1/3 and testing a point, the inequality is determined to be y > (1/3)x - 3.

