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受欢迎的代数 >

4x^2-16x+1=0

解答

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

解答

x = \frac{4 + 15}{2}, x = \frac{4 - 15}{2}

+1

十进制

x = 3.93649 \dots, x = 0.06350 \dots

求解步骤

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

使用求根公式求解

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 4 \cdot 1}{2 \cdot 4}

(- 16)^{2} - 4 \cdot 4 \cdot 1 = 415

x_{1, 2} = \frac{- ( - 16 ) \pm 4 15}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- ( - 16 ) + 4 15}{2 \cdot 4}, x_{2} = \frac{- ( - 16 ) - 4 15}{2 \cdot 4}

x = \frac{- ( - 16 ) + 4 15}{2 \cdot 4} : \frac{4 + 15}{2}

x = \frac{- ( - 16 ) - 4 15}{2 \cdot 4} : \frac{4 - 15}{2}

二次方程组的解是:

x = \frac{4 + 15}{2}, x = \frac{4 - 15}{2}

作图

流行的例子

s im pl i f y 21 \cdot 2

5 x - 6 > 2 x + 15

5(2c-4)+3=-4c-10

5 (2 c - 4) + 3 = - 4 c - 10

(x-8)(x+9)(7x+9)<0

(x - 8) (x + 9) (7 x + 9) < 0

因式分解 x^3-37x+6

f a c t or x^{3} - 37 x + 6