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受欢迎的代数 >

x=2xsqrt(9-x^2)

解答

x = 2 x 9 - x^{2}

解答

x = 0, x = \frac{35}{2}, x = - \frac{35}{2}

+1

十进制

x = 0, x = 2.95803 \dots, x = - 2.95803 \dots

求解步骤

x = 2 x 9 - x^{2}

将

2 x 9 - x^{2}

para o lado esquerdo

x - 2 x 9 - x^{2} = 0

因式分解

x - 2 x 9 - x^{2} : - x (2 9 - x^{2} - 1)

- x (2 9 - x^{2} - 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or 2 9 - x^{2} - 1 = 0

解

2 9 - x^{2} - 1 = 0 : x = \frac{35}{2}, x = - \frac{35}{2}

x = 0, x = \frac{35}{2}, x = - \frac{35}{2}

验证解:

x = 0

真

, x = \frac{35}{2}

真

, x = - \frac{35}{2}

真

解为

x = 0, x = \frac{35}{2}, x = - \frac{35}{2}

作图

流行的例子

6 x - 5 = 5

(2x+4)^{3/2}=64

(2 x + 4)^{\frac{3}{2}} = 64

sqrt(x+28)-2sqrt(x+1)=0

x + 28 - 2 x + 1 = 0

sqrt(x+4)-sqrt(x-8)=2

x + 4 - x - 8 = 2

0=(x-1)sqrt(9-x^2)

0 = (x - 1) 9 - x^{2}