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受欢迎的代数 >

-247b^2+15b^4=0

解答

- 247 b^{2} + 15 b^{4} = 0

解答

b = \frac{247}{15}, b = - \frac{247}{15}, b = 0

+1

十进制

b = 4.05791 \dots, b = - 4.05791 \dots, b = 0

求解步骤

- 247 b^{2} + 15 b^{4} = 0

改写成标准形式

a_{n} x^{n} + \dots + a_{1} x + b = 0

15 b^{4} - 247 b^{2} = 0

用

u = b^{2}

和

u^{2} = b^{4}

改写方程式

15 u^{2} - 247 u = 0

解

15 u^{2} - 247 u = 0 : u = \frac{247}{15}, u = 0

u = \frac{247}{15}, u = 0

代回

u = b^{2}

，求解

b

解

b^{2} = \frac{247}{15} : b = \frac{247}{15}, b = - \frac{247}{15}

解

b^{2} = 0 : b = 0

解为

b = \frac{247}{15}, b = - \frac{247}{15}, b = 0

作图

流行的例子

-x^4+27x^2-10x=0

- x^{4} + 27 x^{2} - 10 x = 0

- 2 x^{4} + 7 = 2 x - 3

-4r^5+4r^4+0.25r-0.25=0

- 4 r^{5} + 4 r^{4} + 0.25 r - 0.25 = 0

solvefor m,L=12m^3

so l v e f or m, L = 12 m^{3}

-x^3+54x^2-6x+25=0

- x^{3} + 54 x^{2} - 6 x + 25 = 0