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受欢迎的代数 >

solvefor x,(p-3)*x^2-2(p-3)x+2=0

解答

求解

x, (p - 3) \cdot x^{2} - 2 (p - 3) x + 2 = 0

解答

x = \frac{p - 3 + p ^{2} - 8 p + 15}{p - 3}, x = \frac{p - 3 - p ^{2} - 8 p + 15}{p - 3}; p \neq = 3

求解步骤

(p - 3) x^{2} - 2 (p - 3) x + 2 = 0

展开

(p - 3) x^{2} - 2 (p - 3) x + 2 : x^{2} p - 3 x^{2} - 2 x p + 6 x + 2

x^{2} p - 3 x^{2} - 2 x p + 6 x + 2 = 0

改写成标准形式

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

(p - 3) x^{2} + (- 2 p + 6) x + 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 2 p + 6 ) \pm ( - 2 p + 6 ) ^{2} - 4 ( p - 3 ) \cdot 2}{2 ( p - 3 )}

化简

(- 2 p + 6)^{2} - 4 (p - 3) \cdot 2 : 2 p^{2} - 8 p + 15

x_{1, 2} = \frac{- ( - 2 p + 6 ) \pm 2 p ^{2} - 8 p + 15}{2 ( p - 3 )}; p \neq = 3

将解分隔开

x_{1} = \frac{- ( - 2 p + 6 ) + 2 p ^{2} - 8 p + 15}{2 ( p - 3 )}, x_{2} = \frac{- ( - 2 p + 6 ) - 2 p ^{2} - 8 p + 15}{2 ( p - 3 )}

x = \frac{- ( - 2 p + 6 ) + 2 p ^{2} - 8 p + 15}{2 ( p - 3 )} : \frac{p - 3 + p ^{2} - 8 p + 15}{p - 3}

x = \frac{- ( - 2 p + 6 ) - 2 p ^{2} - 8 p + 15}{2 ( p - 3 )} : \frac{p - 3 - p ^{2} - 8 p + 15}{p - 3}

二次方程组的解是:

x = \frac{p - 3 + p ^{2} - 8 p + 15}{p - 3}, x = \frac{p - 3 - p ^{2} - 8 p + 15}{p - 3}; p \neq = 3

作图

流行的例子

(a-1)x^2+(3-a)x+b=0

(a - 1) x^{2} + (3 - a) x + b = 0

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

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

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