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受欢迎的代数 >

x^2-6x=13sqrt(x^2-6x)-36

解答

x^{2} - 6 x = 13 x^{2} - 6 x - 36

解答

x = - 2, x = 8, x = 3 (1 + 10), x = 3 (1 - 10)

+1

十进制

x = - 2, x = 8, x = 12.48683 \dots, x = - 6.48683 \dots

求解步骤

x^{2} - 6 x = 13 x^{2} - 6 x - 36

去除平方根

x^{4} - 12 x^{3} + 108 x^{2} - 432 x + 1296 = 169 x^{2} - 1014 x

解

x^{4} - 12 x^{3} + 108 x^{2} - 432 x + 1296 = 169 x^{2} - 1014 x : x = - 2, x = 8, x = 3 (1 + 10), x = 3 (1 - 10)

x = - 2, x = 8, x = 3 (1 + 10), x = 3 (1 - 10)

验证解:

x = - 2

真

, x = 8

真

, x = 3 (1 + 10)

真

, x = 3 (1 - 10)

真

解为

x = - 2, x = 8, x = 3 (1 + 10), x = 3 (1 - 10)

作图

流行的例子

y=3+sqrt(y^2-5)

y = 3 + y^{2} - 5

sqrt(x^2)=sqrt(4)

x^{2} = 4

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

x + 5 + x = 5

2sqrt(1-x)=sqrt(16-3x)-1

2 1 - x = 16 - 3 x - 1

2 x - 1 = 0