平平解器
分步骤解决线性、二次方程和方程式系统,免费上网。
输入结果时更新 。
关于此计算器
An equation solver finds the values that satisfy an equation. This tool solves linear equations, quadratic equations (via the quadratic formula, including complex roots) and systems of two linear equations. Choose the type, enter the coefficients, and get the solution with the key working shown.
For a linear equation ax + b = 0 it simply rearranges to x = -b/a. For a quadratic ax² + bx + c = 0 it applies the quadratic formula, first computing the discriminant b² − 4ac: a positive discriminant gives two real roots, zero gives one repeated root, and a negative discriminant gives a pair of complex-conjugate roots which it reports rather than declaring "no solution". For a 2×2 system it solves the two lines simultaneously to find the single point where they cross.
For a worked example, solving x² − 5x + 6 = 0 gives a discriminant of 25 − 24 = 1, so the roots are x = (5 ± 1)/2, that is x = 3 and x = 2. By contrast x² + 1 = 0 has discriminant -4 and returns the complex roots x = i and x = -i. Students use it to check algebra homework, find where a parabola crosses the x-axis, or solve the pair of equations behind a word problem.
经常问到的问题
它可以解决哪些方程式?
线性方程式(轴+b=0)、二次方程式(轴+bx+c=0,包括复合根)和2x2线性方程式系统。
是否显示出复杂的根?
是的,当二次体有负面的分歧时,解决者报告有两个复杂的共产根,而不是说没有解决办法。
如何解析像X2 - 5x+6=0这样的二次方形?
选择二次方位类型并输入 a = 1, b = 5, c = 6. 求解器应用二次方位公式,返回 x = 2 和 x = 3, 表示为零的两个值。
谁是异见者,这有什么关系呢?
争议是 b2 - 4ac。 如果是正, 则有两种真正的根, 如果是零, 则有一种重复根, 如果是负根, 则有复杂的共产体。 解决者使用它来决定哪个案件适用 。
我该如何解决两个方程式的系统?
选择 2x2 系统类型并输入两个方程式的系数。 求解器找到两个线相交的单点( x 、 y), 或者告诉你它们何时平行, 并且永远不交叉 。
这和图形计算器有什么不同?
方程式解析器返回精确的溶解值, 以代数值。 图形计算器则绘制曲线, 这样您就可以将根作为 X 轴交叉点或两个图形的交叉点来看待 。
成果仅是一般指导的估计数,而不是财务、医疗或税务咨询。