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受欢迎的代数 >

4x^2=-10x+7

解答

4 x^{2} = - 10 x + 7

解答

x = \frac{- 5 + 53}{4}, x = - \frac{5 + 53}{4}

+1

十进制

x = 0.57002 \dots, x = - 3.07002 \dots

求解步骤

4 x^{2} = - 10 x + 7

将

7

para o lado esquerdo

4 x^{2} - 7 = - 10 x

将

10 x

para o lado esquerdo

4 x^{2} - 7 + 10 x = 0

改写成标准形式

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

4 x^{2} + 10 x - 7 = 0

使用求根公式求解

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 4 ( - 7 )}{2 \cdot 4}

1 0^{2} - 4 \cdot 4 (- 7) = 253

x_{1, 2} = \frac{- 10 \pm 2 53}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- 10 + 2 53}{2 \cdot 4}, x_{2} = \frac{- 10 - 2 53}{2 \cdot 4}

x = \frac{- 10 + 2 53}{2 \cdot 4} : \frac{- 5 + 53}{4}

x = \frac{- 10 - 2 53}{2 \cdot 4} : - \frac{5 + 53}{4}

二次方程组的解是:

x = \frac{- 5 + 53}{4}, x = - \frac{5 + 53}{4}

作图

流行的例子

solvefor x,x^2-xy=4

so l v e f or x, x^{2} - x y = 4

- 2 + 4 k^{2} = - 15

-(2x^2+7)=(2x+1)(x+3)

- (2 x^{2} + 7) = (2 x + 1) (x + 3)

0 = 4 x^{2} + 8 x + 4

x^{2} = 8 x - 19