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受欢迎的代数 >

(x^2+3x+4)(x^2+6x+4)=0

解答

(x^{2} + 3 x + 4) (x^{2} + 6 x + 4) = 0

解答

x = - \frac{3}{2} + i \frac{7}{2}, x = - \frac{3}{2} - i \frac{7}{2}, x = - 3 + 5, x = - 3 - 5

求解步骤

(x^{2} + 3 x + 4) (x^{2} + 6 x + 4) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x^{2} + 3 x + 4 = 0 or x^{2} + 6 x + 4 = 0

解

x^{2} + 3 x + 4 = 0 : x = - \frac{3}{2} + i \frac{7}{2}, x = - \frac{3}{2} - i \frac{7}{2}

解

x^{2} + 6 x + 4 = 0 : x = - 3 + 5, x = - 3 - 5

解为

x = - \frac{3}{2} + i \frac{7}{2}, x = - \frac{3}{2} - i \frac{7}{2}, x = - 3 + 5, x = - 3 - 5

作图

流行的例子

x^{2} + x = x^{3}

x^{4} - 8 x^{2} + 15 = 0

r^{5} - 5 r = 3

9 x^{4} = 25 x^{2} - 16

solvefor x,x^3+y^3-z^3=4

so l v e f or x, x^{3} + y^{3} - z^{3} = 4