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受欢迎的代数 >

63=(0.25^2-d^2)/(0.25^2)*100

解答

63 = \frac{0.2 5 ^{2} - d ^{2}}{0.2 5 ^{2}} \cdot 100

解答

d = \frac{37}{40}, d = - \frac{37}{40}

+1

十进制

d = 0.15206 \dots, d = - 0.15206 \dots

求解步骤

63 = \frac{0.2 5 ^{2} - d ^{2}}{0.2 5 ^{2}} \cdot 100

交换两边

\frac{0.2 5 ^{2} - d ^{2}}{0.2 5 ^{2}} \cdot 100 = 63

使用分式法则:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

\frac{( 0.2 5 ^{2} - d ^{2} ) \cdot 100}{0.2 5 ^{2}} = 63

\frac{100 ( 0.2 5 ^{2} - d ^{2} )}{0.2 5 ^{2}} = 63

在两边乘以

0.2 5^{2}

0.2 5^{2} \cdot 100 - 100 d^{2} = 63 \cdot 0.2 5^{2}

将

0.2 5^{2} \cdot 100

到右边

- 100 d^{2} = - 2.3125

两边除以

- 100

d^{2} = 0.023125

对于

x^{2} = f (a)

解为

x = f (a), - f (a)

d = 0.023125, d = - 0.023125

0.023125 = \frac{37}{40}

- 0.023125 = - \frac{37}{40}

d = \frac{37}{40}, d = - \frac{37}{40}

作图

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