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受欢迎的代数 >

sqrt(z^2+6z+3)=3z+1

解答

z^{2} + 6 z + 3 = 3 z + 1

解答

z = \frac{1}{2}

+1

十进制

z = 0.5

求解步骤

z^{2} + 6 z + 3 = 3 z + 1

两边进行平方:

z^{2} + 6 z + 3 = 9 z^{2} + 6 z + 1

z^{2} + 6 z + 3 = 9 z^{2} + 6 z + 1

解

z^{2} + 6 z + 3 = 9 z^{2} + 6 z + 1 : z = \frac{1}{2}, z = - \frac{1}{2}

z = \frac{1}{2}, z = - \frac{1}{2}

验证解:

z = \frac{1}{2}

真

, z = - \frac{1}{2}

假

解是

z = \frac{1}{2}

作图

流行的例子

sqrt(5x+3)=3sqrt(x)

5 x + 3 = 3 x

y^{\frac{3}{2}} = 5 y

\sqrt[3]{x+16}=10

3 x + 16 = 10

sqrt(3x+1)-sqrt(x-4)=3

3 x + 1 - x - 4 = 3

x+sqrt(37-9x)=5

x + 37 - 9 x = 5