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受欢迎的代数 >

-3x^2+33=48x

解答

- 3 x^{2} + 33 = 48 x

解答

x = - 8 - 53, x = 53 - 8

+1

十进制

x = - 16.66025 \dots, x = 0.66025 \dots

求解步骤

- 3 x^{2} + 33 = 48 x

将

48 x

para o lado esquerdo

- 3 x^{2} + 33 - 48 x = 0

改写成标准形式

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

- 3 x^{2} - 48 x + 33 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 48 ) \pm ( - 48 ) ^{2} - 4 ( - 3 ) \cdot 33}{2 ( - 3 )}

(- 48)^{2} - 4 (- 3) \cdot 33 = 303

x_{1, 2} = \frac{- ( - 48 ) \pm 30 3}{2 ( - 3 )}

将解分隔开

x_{1} = \frac{- ( - 48 ) + 30 3}{2 ( - 3 )}, x_{2} = \frac{- ( - 48 ) - 30 3}{2 ( - 3 )}

x = \frac{- ( - 48 ) + 30 3}{2 ( - 3 )} : - 8 - 53

x = \frac{- ( - 48 ) - 30 3}{2 ( - 3 )} : 53 - 8

二次方程组的解是:

x = - 8 - 53, x = 53 - 8

作图

流行的例子

根 4x^2+5=-12x

roo t s 4 x^{2} + 5 = - 12 x

因式分解 x^2-5x+10=4

f a c t or x^{2} - 5 x + 10 = 4

s^{2} - 4 s + 3 = 0

3 x^{2} + 24 x + 3 = 0

5(2x-10)^2-23=32

5 (2 x - 10)^{2} - 23 = 32