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受欢迎的代数 >

a^2=100-9sqrt(100-a^2)

解答

a^{2} = 100 - 9 100 - a^{2}

解答

a = 10, a = - 10, a = 19, a = - 19

+1

十进制

a = 10, a = - 10, a = 4.35889 \dots, a = - 4.35889 \dots

求解步骤

a^{2} = 100 - 9 100 - a^{2}

去除平方根

a^{4} - 200 a^{2} + 10000 = 8100 - 81 a^{2}

解

a^{4} - 200 a^{2} + 10000 = 8100 - 81 a^{2} : a = 10, a = - 10, a = 19, a = - 19

a = 10, a = - 10, a = 19, a = - 19

验证解:

a = 10

真

, a = - 10

真

, a = 19

真

, a = - 19

真

解为

a = 10, a = - 10, a = 19, a = - 19

作图

流行的例子

G(x)=sqrt(x^2-9)

G (x) = x^{2} - 9

sqrt(x^2+16)=30

x^{2} + 16 = 30

x + 1 = 10

sqrt(x-7)+1=sqrt(x)

x - 7 + 1 = x

3 = 5 - x