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受欢迎的代数 >

2X(X-1)=4X-3

解答

2 X (X - 1) = 4 X - 3

解答

X = \frac{3 + 3}{2}, X = \frac{3 - 3}{2}

+1

十进制

X = 2.36602 \dots, X = 0.63397 \dots

求解步骤

2 X (X - 1) = 4 X - 3

展开

2 X (X - 1) : 2 X^{2} - 2 X

2 X^{2} - 2 X = 4 X - 3

将

3

para o lado esquerdo

2 X^{2} - 2 X + 3 = 4 X

将

4 X

para o lado esquerdo

2 X^{2} - 6 X + 3 = 0

使用求根公式求解

X_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 2 \cdot 3}{2 \cdot 2}

(- 6)^{2} - 4 \cdot 2 \cdot 3 = 23

X_{1, 2} = \frac{- ( - 6 ) \pm 2 3}{2 \cdot 2}

将解分隔开

X_{1} = \frac{- ( - 6 ) + 2 3}{2 \cdot 2}, X_{2} = \frac{- ( - 6 ) - 2 3}{2 \cdot 2}

X = \frac{- ( - 6 ) + 2 3}{2 \cdot 2} : \frac{3 + 3}{2}

X = \frac{- ( - 6 ) - 2 3}{2 \cdot 2} : \frac{3 - 3}{2}

二次方程组的解是:

X = \frac{3 + 3}{2}, X = \frac{3 - 3}{2}

作图

流行的例子

5 x^{2} - 9 = 4 x

5 y - 6 + 50 y^{2} = 0

0 = 4 x^{2} - 5 x - 3

2 x^{2} + 6 x + 3 = 3

6 x^{2} - 4 x - 4 = 0