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受欢迎的代数 >

(4x-3)(x+2)=45

解答

(4 x - 3) (x + 2) = 45

解答

x = 3, x = - \frac{17}{4}

+1

十进制

x = 3, x = - 4.25

求解步骤

(4 x - 3) (x + 2) = 45

展开

(4 x - 3) (x + 2) : 4 x^{2} + 5 x - 6

4 x^{2} + 5 x - 6 = 45

将

45

para o lado esquerdo

4 x^{2} + 5 x - 51 = 0

使用求根公式求解

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 4 ( - 51 )}{2 \cdot 4}

5^{2} - 4 \cdot 4 (- 51) = 29

x_{1, 2} = \frac{- 5 \pm 29}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- 5 + 29}{2 \cdot 4}, x_{2} = \frac{- 5 - 29}{2 \cdot 4}

x = \frac{- 5 + 29}{2 \cdot 4} : 3

x = \frac{- 5 - 29}{2 \cdot 4} : - \frac{17}{4}

二次方程组的解是:

x = 3, x = - \frac{17}{4}

作图

流行的例子

\frac{x ^{2}}{3} - x = \frac{5}{6}

3 t^{2} + 4 t - 4 = 0

(x - 3) (x + 1) = 5

λ^2-6λ+9(1)=0

λ^{2} - 6 λ + 9 (1) = 0

5x^2+13x-6=10x-4

5 x^{2} + 13 x - 6 = 10 x - 4