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受欢迎的代数 >

a=sqrt(x+3)+sqrt(3x+1)

解答

a = x + 3 + 3 x + 1

解答

x = \frac{2 a ^{2} + 2 + a 3 a ^{2} + 16}{2}, x = \frac{2 a ^{2} + 2 - a 3 a ^{2} + 16}{2}

求解步骤

a = x + 3 + 3 x + 1

去除平方根

12 a^{2} x + 4 a^{2} = 4 a^{2} x + 4 x^{2} - 8 x - 4 a^{2} + a^{4} + 4

解

12 a^{2} x + 4 a^{2} = 4 a^{2} x + 4 x^{2} - 8 x - 4 a^{2} + a^{4} + 4 : x = \frac{2 a ^{2} + 2 + a 3 a ^{2} + 16}{2}, x = \frac{2 a ^{2} + 2 - a 3 a ^{2} + 16}{2}

x = \frac{2 a ^{2} + 2 + a 3 a ^{2} + 16}{2}, x = \frac{2 a ^{2} + 2 - a 3 a ^{2} + 16}{2}

验证解:

x = \frac{2 a ^{2} + 2 + a 3 a ^{2} + 16}{2}

真

, x = \frac{2 a ^{2} + 2 - a 3 a ^{2} + 16}{2}

真

解为

x = \frac{2 a ^{2} + 2 + a 3 a ^{2} + 16}{2}, x = \frac{2 a ^{2} + 2 - a 3 a ^{2} + 16}{2}

作图

流行的例子

1623/100 =\sqrt[3]{x}*7

\frac{1623}{100} = 3 x \cdot 7

sqrt(2x+3)-sqrt(x+2)=2

2 x + 3 - x + 2 = 2

x=(12+4x)^{1/2}

x = (12 + 4 x)^{\frac{1}{2}}

solvefor a,sqrt(a)+sqrt(b)=sqrt(2009)

so l v e f or a, a + b = 2009

sqrt(x)+10-1=-3

x + 10 - 1 = - 3