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受欢迎的代数 >

x^2+((sqrt(48))/7)^2=1

解答

x^{2} + (\frac{48}{7})^{2} = 1

解答

x = \frac{1}{7}, x = - \frac{1}{7}

+1

十进制

x = 0.14285 \dots, x = - 0.14285 \dots

求解步骤

x^{2} + (\frac{48}{7})^{2} = 1

展开

x^{2} + (\frac{48}{7})^{2} : x^{2} + \frac{48}{49}

x^{2} + \frac{48}{49} = 1

将

\frac{48}{49}

到右边

x^{2} = 1 - \frac{48}{49}

化简

1 - \frac{48}{49} : \frac{1}{49}

对于

x^{2} = f (a)

解为

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

x = \frac{1}{49}, x = - \frac{1}{49}

\frac{1}{49} = \frac{1}{7}

- \frac{1}{49} = - \frac{1}{7}

x = \frac{1}{7}, x = - \frac{1}{7}

作图

流行的例子

x^{2} - 4 x - 160 = 0

solvefor x,7x^2+2y^2+2x-7y+16=0

so l v e f or x, 7 x^{2} + 2 y^{2} + 2 x - 7 y + 16 = 0

266=0.68*100*X*1.79*(7.2-0.4*X)

266 = 0.68 \cdot 100 \cdot X \cdot 1.79 \cdot (7.2 - 0.4 \cdot X)

0.7x^2-4.2x-0.7=0

0.7 x^{2} - 4.2 x - 0.7 = 0

- 4 x^{2} + 225 = 45