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受欢迎的代数 >

-6.5x^2+390x-2000=0

解答

- 6.5 x^{2} + 390 x - 2000 = 0

解答

x = \frac{10 ( 39 - 1001 )}{13}, x = \frac{10 ( 39 + 1001 )}{13}

+1

十进制

x = 5.66262 \dots, x = 54.33737 \dots

求解步骤

- 6.5 x^{2} + 390 x - 2000 = 0

在两边乘以

10

- 65 x^{2} + 3900 x - 20000 = 0

使用求根公式求解

x_{1, 2} = \frac{- 3900 \pm 390 0 ^{2} - 4 ( - 65 ) ( - 20000 )}{2 ( - 65 )}

390 0^{2} - 4 (- 65) (- 20000) = 1001001

x_{1, 2} = \frac{- 3900 \pm 100 1001}{2 ( - 65 )}

将解分隔开

x_{1} = \frac{- 3900 + 100 1001}{2 ( - 65 )}, x_{2} = \frac{- 3900 - 100 1001}{2 ( - 65 )}

x = \frac{- 3900 + 100 1001}{2 ( - 65 )} : \frac{10 ( 39 - 1001 )}{13}

x = \frac{- 3900 - 100 1001}{2 ( - 65 )} : \frac{10 ( 39 + 1001 )}{13}

二次方程组的解是:

x = \frac{10 ( 39 - 1001 )}{13}, x = \frac{10 ( 39 + 1001 )}{13}

作图

流行的例子

(-a+b+c-d)x^2+(a+2b+2c+(-d))x+2d=0

(- a + b + c - d) x^{2} + (a + 2 b + 2 c + (- d)) x + 2 d = 0

- 13 = 7 - 5 m^{2}

(2 x + 1)^{2} = 16

a x^{2} - c = 0

solvefor x,2x^2+2y^2+10=0

so l v e f or x, 2 x^{2} + 2 y^{2} + 10 = 0