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受欢迎的代数 >

c^2=c+1

解答

c^{2} = c + 1

解答

c = \frac{1 + 5}{2}, c = \frac{1 - 5}{2}

+1

十进制

c = 1.61803 \dots, c = - 0.61803 \dots

求解步骤

c^{2} = c + 1

将

1

para o lado esquerdo

c^{2} - 1 = c

将

c

para o lado esquerdo

c^{2} - 1 - c = 0

改写成标准形式

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

c^{2} - c - 1 = 0

使用求根公式求解

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

(- 1)^{2} - 4 \cdot 1 \cdot (- 1) = 5

c_{1, 2} = \frac{- ( - 1 ) \pm 5}{2 \cdot 1}

将解分隔开

c_{1} = \frac{- ( - 1 ) + 5}{2 \cdot 1}, c_{2} = \frac{- ( - 1 ) - 5}{2 \cdot 1}

c = \frac{- ( - 1 ) + 5}{2 \cdot 1} : \frac{1 + 5}{2}

c = \frac{- ( - 1 ) - 5}{2 \cdot 1} : \frac{1 - 5}{2}

二次方程组的解是:

c = \frac{1 + 5}{2}, c = \frac{1 - 5}{2}

作图

流行的例子

X^{2} + 11 X + 18 = 0

completesquare x^2-8x-17=0

co m pl e t es q u a re x^{2} - 8 x - 17 = 0

5 x^{2} - 10 x - 12 = 0

1 2^{2} + x^{2} = 1 4^{2}

- 4 x^{2} = 48