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受欢迎的代数 >

因式分解 3x^2+1=-13x-3

解答

3 x^{2} + 1 = - 13 x - 3

解答

x = - \frac{1}{3}, x = - 4

+1

十进制

x = - 0.33333 \dots, x = - 4

求解步骤

3 x^{2} + 1 = - 13 x - 3

将

3

para o lado esquerdo

3 x^{2} + 4 = - 13 x

将

13 x

para o lado esquerdo

3 x^{2} + 4 + 13 x = 0

改写成标准形式

a x^{2} + b x + c = 0

3 x^{2} + 13 x + 4 = 0

因式分解

3 x^{2} + 13 x + 4 : (3 x + 1) (x + 4)

(3 x + 1) (x + 4) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

3 x + 1 = 0 or x + 4 = 0

解

3 x + 1 = 0 : x = - \frac{1}{3}

解

x + 4 = 0 : x = - 4

二次方程组的解是:

x = - \frac{1}{3}, x = - 4

作图

流行的例子

[(7x(x))/(2+(-7))]=21

[\frac{7 x ( x )}{2 + ( - 7 )}] = 21

x^{2} - 10 x = - 5

x^{2} - 10 x = - 8

0.2 q^{2} + 4 q - 60 = 0

0.35x^2-x+0.35=0

0.35 x^{2} - x + 0.35 = 0