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受欢迎的代数 >

(5x-2)^2-(3x+1)^2=x^2+60

解答

(5 x - 2)^{2} - (3 x + 1)^{2} = x^{2} + 60

解答

x = 3, x = - \frac{19}{15}

+1

十进制

x = 3, x = - 1.26666 \dots

求解步骤

(5 x - 2)^{2} - (3 x + 1)^{2} = x^{2} + 60

展开

(5 x - 2)^{2} - (3 x + 1)^{2} : 16 x^{2} - 26 x + 3

16 x^{2} - 26 x + 3 = x^{2} + 60

将

60

para o lado esquerdo

16 x^{2} - 26 x - 57 = x^{2}

将

x^{2}

para o lado esquerdo

15 x^{2} - 26 x - 57 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 26 ) \pm ( - 26 ) ^{2} - 4 \cdot 15 ( - 57 )}{2 \cdot 15}

(- 26)^{2} - 4 \cdot 15 (- 57) = 64

x_{1, 2} = \frac{- ( - 26 ) \pm 64}{2 \cdot 15}

将解分隔开

x_{1} = \frac{- ( - 26 ) + 64}{2 \cdot 15}, x_{2} = \frac{- ( - 26 ) - 64}{2 \cdot 15}

x = \frac{- ( - 26 ) + 64}{2 \cdot 15} : 3

x = \frac{- ( - 26 ) - 64}{2 \cdot 15} : - \frac{19}{15}

二次方程组的解是:

x = 3, x = - \frac{19}{15}

作图

流行的例子

solvefor x,f=-x^2y^2

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

x^{2} + 11 x = 24

x^{2} - x + 0.25 = 0

-y+28+y^2=2y+2y^2

- y + 28 + y^{2} = 2 y + 2 y^{2}

因式分解 x^2+6x+9=0

f a c t or x^{2} + 6 x + 9 = 0