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受欢迎的代数 >

3+sqrt(-x^2+4)=x^2-1

解答

3 + - x^{2} + 4 = x^{2} - 1

解答

x = 2, x = - 2

求解步骤

3 + - x^{2} + 4 = x^{2} - 1

去除平方根

- x^{2} + 4 = x^{4} - 8 x^{2} + 16

解

- x^{2} + 4 = x^{4} - 8 x^{2} + 16 : x = 2, x = - 2, x = 3, x = - 3

x = 2, x = - 2, x = 3, x = - 3

验证解:

x = 2

真

, x = - 2

真

, x = 3

假

, x = - 3

假

解为

x = 2, x = - 2

作图

流行的例子

\sqrt[3]{7v-8}=3

3 7 v - 8 = 3

0=2.5\sqrt[4]{x}-sqrt(x)-1

0 = 2.5 4 x - x - 1

5 x - 2 = x + 9

3=12x-sqrt(36*x^2+9)

3 = 12 x - 36 \cdot x^{2} + 9

x-sqrt(4x-20)=20

x - 4 x - 20 = 20