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受欢迎的代数 >

5x^2-17x+13=0

解答

5 x^{2} - 17 x + 13 = 0

解答

x = \frac{17 + 29}{10}, x = \frac{17 - 29}{10}

+1

十进制

x = 2.23851 \dots, x = 1.16148 \dots

求解步骤

5 x^{2} - 17 x + 13 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 17 ) \pm ( - 17 ) ^{2} - 4 \cdot 5 \cdot 13}{2 \cdot 5}

(- 17)^{2} - 4 \cdot 5 \cdot 13 = 29

x_{1, 2} = \frac{- ( - 17 ) \pm 29}{2 \cdot 5}

将解分隔开

x_{1} = \frac{- ( - 17 ) + 29}{2 \cdot 5}, x_{2} = \frac{- ( - 17 ) - 29}{2 \cdot 5}

x = \frac{- ( - 17 ) + 29}{2 \cdot 5} : \frac{17 + 29}{10}

x = \frac{- ( - 17 ) - 29}{2 \cdot 5} : \frac{17 - 29}{10}

二次方程组的解是:

x = \frac{17 + 29}{10}, x = \frac{17 - 29}{10}

作图

流行的例子

x^{2} - 2 x - 52 = 3 x - 2

(x - 5) (x - 3) = 15

solvefor y,y^2=x^3+x+17

so l v e f or y, y^{2} = x^{3} + x + 17

solvefor x,f(x+3)=x^2-1

so l v e f or x, f (x + 3) = x^{2} - 1

(5 x - 1) (x + 7) = 0