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受欢迎的代数 >

(-12/13)^2+x^2=1

解答

(- \frac{12}{13})^{2} + x^{2} = 1

解答

x = \frac{5}{13}, x = - \frac{5}{13}

+1

十进制

x = 0.38461 \dots, x = - 0.38461 \dots

求解步骤

(- \frac{12}{13})^{2} + x^{2} = 1

展开

(- \frac{12}{13})^{2} + x^{2} : \frac{144}{169} + x^{2}

\frac{144}{169} + x^{2} = 1

将

\frac{144}{169}

到右边

x^{2} = 1 - \frac{144}{169}

化简

1 - \frac{144}{169} : \frac{25}{169}

对于

x^{2} = f (a)

解为

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

x = \frac{25}{169}, x = - \frac{25}{169}

\frac{25}{169} = \frac{5}{13}

- \frac{25}{169} = - \frac{5}{13}

x = \frac{5}{13}, x = - \frac{5}{13}

作图

流行的例子

\frac{1}{2} x^{2} + 7 x = 0

x^2-3x-44=-3x+5-3x+5

x^{2} - 3 x - 44 = - 3 x + 5 - 3 x + 5

solvefor y,x^4-7xy^2+y=7

so l v e f or y, x^{4} - 7 x y^{2} + y = 7

x^{2} + (\frac{5}{13})^{2} = 1

solvefor x,f=3x^2+2y+5

so l v e f or x, f = 3 x^{2} + 2 y + 5