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受欢迎的代数 >

solvefor x,x^2-px+36=0

解答

求解

x, x^{2} - p x + 36 = 0

解答

x = \frac{p + p ^{2} - 144}{2}, x = \frac{p - p ^{2} - 144}{2}

求解步骤

x^{2} - p x + 36 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - p ) \pm ( - p ) ^{2} - 4 \cdot 1 \cdot 36}{2 \cdot 1}

化简

(- p)^{2} - 4 \cdot 1 \cdot 36 : p^{2} - 144

x_{1, 2} = \frac{- ( - p ) \pm p ^{2} - 144}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - p ) + p ^{2} - 144}{2 \cdot 1}, x_{2} = \frac{- ( - p ) - p ^{2} - 144}{2 \cdot 1}

x = \frac{- ( - p ) + p ^{2} - 144}{2 \cdot 1} : \frac{p + p ^{2} - 144}{2}

x = \frac{- ( - p ) - p ^{2} - 144}{2 \cdot 1} : \frac{p - p ^{2} - 144}{2}

二次方程组的解是:

x = \frac{p + p ^{2} - 144}{2}, x = \frac{p - p ^{2} - 144}{2}

作图

流行的例子

solvefor x,3x^2-xy^2=0

so l v e f or x, 3 x^{2} - x y^{2} = 0

(5t-9)^2-7(5t-9)+6=0

(5 t - 9)^{2} - 7 (5 t - 9) + 6 = 0

x (10 - x) = 40

solvefor x,2xy=x^2

so l v e f or x, 2 x y = x^{2}

x^{2} + 17 x - 30 = 0