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受欢迎的代数 >

0=-1/16 x^2+4x+3

解答

0 = - \frac{1}{16} x^{2} + 4 x + 3

解答

x = - 4 (67 - 8), x = 4 (8 + 67)

+1

十进制

x = - 0.74141 \dots, x = 64.74141 \dots

求解步骤

0 = - \frac{1}{16} x^{2} + 4 x + 3

在两边乘以

16

0 = - x^{2} + 64 x + 48

交换两边

- x^{2} + 64 x + 48 = 0

使用求根公式求解

x_{1, 2} = \frac{- 64 \pm 6 4 ^{2} - 4 ( - 1 ) \cdot 48}{2 ( - 1 )}

6 4^{2} - 4 (- 1) \cdot 48 = 867

x_{1, 2} = \frac{- 64 \pm 8 67}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- 64 + 8 67}{2 ( - 1 )}, x_{2} = \frac{- 64 - 8 67}{2 ( - 1 )}

x = \frac{- 64 + 8 67}{2 ( - 1 )} : - 4 (67 - 8)

x = \frac{- 64 - 8 67}{2 ( - 1 )} : 4 (8 + 67)

二次方程组的解是:

x = - 4 (67 - 8), x = 4 (8 + 67)

作图

流行的例子

4 t^{2} + 12 t - 3 = 5 t

roo t s x^{2} + 6 x + 5

solvefor x,x^2+y^2+Ax+By+C=0

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

因式分解 3x^2+7x+5=3x+4

f a c t or 3 x^{2} + 7 x + 5 = 3 x + 4

12 x^{2} - 32 x + 12 = 0