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受欢迎的代数 >

4sqrt(1+3x)+sqrt(6x+3)=sqrt(-6x-1)

解答

4 1 + 3 x + 6 x + 3 = - 6 x - 1

解答

x = - \frac{1}{3}

+1

十进制

x = - 0.33333 \dots

求解步骤

4 1 + 3 x + 6 x + 3 = - 6 x - 1

去除平方根

1152 x^{2} + 960 x + 192 = 3600 x^{2} + 2400 x + 400

解

1152 x^{2} + 960 x + 192 = 3600 x^{2} + 2400 x + 400 : x = - \frac{1}{3}, x = - \frac{13}{51}

x = - \frac{1}{3}, x = - \frac{13}{51}

验证解:

x = - \frac{1}{3}

真

, x = - \frac{13}{51}

假

解是

x = - \frac{1}{3}

作图

流行的例子

a=sqrt(21-2a)+11

a = 21 - 2 a + 11

sqrt(5x+11)-1=x

5 x + 11 - 1 = x

sqrt(x+5)-20=-18

x + 5 - 20 = - 18

sqrt(5w+3)=sqrt(4w+5)

5 w + 3 = 4 w + 5

(3x+5)^{2/3}+4=29

(3 x + 5)^{\frac{2}{3}} + 4 = 29