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受欢迎的代数 >

q^{0.2}(q-6)-3=5

解答

q^{0.2} (q - 6) - 3 = 5

解答

q \approx - 1.43869 \dots, q \approx 10.95629 \dots

求解步骤

q^{0.2} (q - 6) - 3 = 5

展开

q^{0.2} (q - 6) - 3 : q^{0.2} q - 6 q^{0.2} - 3

q^{0.2} q - 6 q^{0.2} - 3 = 5

将

3

到右边

q^{0.2} q - 6 q^{0.2} = 8

分解

q^{0.2} q - 6 q^{0.2} : q^{0.2} (q - 6)

q^{0.2} (q - 6) = 8

两边除以

q - 6

q^{0.2} = \frac{8}{q - 6}

对方程式两边

5

次方:

q = \frac{32768}{q ^{5} - 30 q ^{4} + 360 q ^{3} - 2160 q ^{2} + 6480 q - 7776}

q = \frac{32768}{q ^{5} - 30 q ^{4} + 360 q ^{3} - 2160 q ^{2} + 6480 q - 7776}

解

q = \frac{32768}{q ^{5} - 30 q ^{4} + 360 q ^{3} - 2160 q ^{2} + 6480 q - 7776} : q \approx - 1.43869 \dots, q \approx 10.95629 \dots

q \approx - 1.43869 \dots, q \approx 10.95629 \dots

验证解:

q \approx - 1.43869 \dots

真

, q \approx 10.95629 \dots

真

解为

q \approx - 1.43869 \dots, q \approx 10.95629 \dots

作图

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