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受欢迎的代数 >

solvefor x,x^2-(t-1)x+t-2=0

解答

求解

x, x^{2} - (t - 1) x + t - 2 = 0

解答

x = t - 2, x = 1

求解步骤

x^{2} - (t - 1) x + t - 2 = 0

展开

x^{2} - (t - 1) x + t - 2 : x^{2} - x t + x + t - 2

x^{2} - x t + x + t - 2 = 0

改写成标准形式

a x^{2} + b x + c = 0

x^{2} + (- t + 1) x + t - 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - t + 1 ) \pm ( - t + 1 ) ^{2} - 4 \cdot 1 \cdot ( t - 2 )}{2 \cdot 1}

化简

(- t + 1)^{2} - 4 \cdot 1 \cdot (t - 2) : t - 3

x_{1, 2} = \frac{- ( - t + 1 ) \pm ( t - 3 )}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - t + 1 ) + t - 3}{2 \cdot 1}, x_{2} = \frac{- ( - t + 1 ) - ( t - 3 )}{2 \cdot 1}

x = \frac{- ( - t + 1 ) + t - 3}{2 \cdot 1} : t - 2

x = \frac{- ( - t + 1 ) - ( t - 3 )}{2 \cdot 1} : 1

二次方程组的解是:

x = t - 2, x = 1

作图

流行的例子

x^2-(7+sqrt(3))*x+6(1+sqrt(3))=0

x^{2} - (7 + 3) \cdot x + 6 (1 + 3) = 0

solvefor a,(1-m)^2(m^2+a^2)=0

so l v e f or a, (1 - m)^{2} (m^{2} + a^{2}) = 0

x^2+(m+n)*x-2(m-n)=0

x^{2} + (m + n) \cdot x - 2 (m - n) = 0

a(x)= 3/16 x^2-18x+670

a (x) = \frac{3}{16} x^{2} - 18 x + 670

solvefor x,x^2+4y^2+9z^2-2x-4y-6z+3=0

so l v e f or x, x^{2} + 4 y^{2} + 9 z^{2} - 2 x - 4 y - 6 z + 3 = 0