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受欢迎的函数 >

f=4e^2-12e+9-f^2

解答

f = 4 e^{2} - 12 e + 9 - f^{2}

解答

f = - \frac{1 + 16 e ^{2} - 48 e + 37}{2}, f = \frac{16 e ^{2} - 48 e + 37 - 1}{2}

+1

十进制

f = - 2.98733 \dots, f = 1.98733 \dots

求解步骤

f = 4 e^{2} - 12 e + 9 - f^{2}

交换两边

4 e^{2} - 12 e + 9 - f^{2} = f

将

f

para o lado esquerdo

4 e^{2} - 12 e + 9 - f^{2} - f = 0

改写成标准形式

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

- f^{2} - f + 4 e^{2} - 12 e + 9 = 0

使用求根公式求解

f_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 ( - 1 ) ( 4 e ^{2} - 12 e + 9 )}{2 ( - 1 )}

(- 1)^{2} - 4 (- 1) (4 e^{2} - 12 e + 9) = 16 e^{2} - 48 e + 37

f_{1, 2} = \frac{- ( - 1 ) \pm 16 e ^{2} - 48 e + 37}{2 ( - 1 )}

将解分隔开

f_{1} = \frac{- ( - 1 ) + 16 e ^{2} - 48 e + 37}{2 ( - 1 )}, f_{2} = \frac{- ( - 1 ) - 16 e ^{2} - 48 e + 37}{2 ( - 1 )}

f = \frac{- ( - 1 ) + 16 e ^{2} - 48 e + 37}{2 ( - 1 )} : - \frac{1 + 16 e ^{2} - 48 e + 37}{2}

f = \frac{- ( - 1 ) - 16 e ^{2} - 48 e + 37}{2 ( - 1 )} : \frac{16 e ^{2} - 48 e + 37 - 1}{2}

二次方程组的解是:

f = - \frac{1 + 16 e ^{2} - 48 e + 37}{2}, f = \frac{16 e ^{2} - 48 e + 37 - 1}{2}

作图

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