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受欢迎的代数 >

4x^2-20x+25=32

解答

4 x^{2} - 20 x + 25 = 32

解答

x = \frac{5 + 4 2}{2}, x = \frac{5 - 4 2}{2}

+1

十进制

x = 5.32842 \dots, x = - 0.32842 \dots

求解步骤

4 x^{2} - 20 x + 25 = 32

将

32

para o lado esquerdo

4 x^{2} - 20 x - 7 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 4 ( - 7 )}{2 \cdot 4}

(- 20)^{2} - 4 \cdot 4 (- 7) = 162

x_{1, 2} = \frac{- ( - 20 ) \pm 16 2}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- ( - 20 ) + 16 2}{2 \cdot 4}, x_{2} = \frac{- ( - 20 ) - 16 2}{2 \cdot 4}

x = \frac{- ( - 20 ) + 16 2}{2 \cdot 4} : \frac{5 + 4 2}{2}

x = \frac{- ( - 20 ) - 16 2}{2 \cdot 4} : \frac{5 - 4 2}{2}

二次方程组的解是:

x = \frac{5 + 4 2}{2}, x = \frac{5 - 4 2}{2}

作图

流行的例子

w^{2} - 8 w - 9 = 0

x^{2} - 11 x + 20 = 0

1 - x^{2} = x - 1

(2 x - 4)^{2} - 1 = - 10

solvefor x,x^2-xy+y^2-2x+6y-6=0

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