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受欢迎的代数 >

5x^2=2x+3

解答

5 x^{2} = 2 x + 3

解答

x = 1, x = - \frac{3}{5}

+1

十进制

x = 1, x = - 0.6

求解步骤

5 x^{2} = 2 x + 3

将

3

para o lado esquerdo

5 x^{2} - 3 = 2 x

将

2 x

para o lado esquerdo

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

改写成标准形式

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

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

使用求根公式求解

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 5 ( - 3 )}{2 \cdot 5}

(- 2)^{2} - 4 \cdot 5 (- 3) = 8

x_{1, 2} = \frac{- ( - 2 ) \pm 8}{2 \cdot 5}

将解分隔开

x_{1} = \frac{- ( - 2 ) + 8}{2 \cdot 5}, x_{2} = \frac{- ( - 2 ) - 8}{2 \cdot 5}

x = \frac{- ( - 2 ) + 8}{2 \cdot 5} : 1

x = \frac{- ( - 2 ) - 8}{2 \cdot 5} : - \frac{3}{5}

二次方程组的解是:

x = 1, x = - \frac{3}{5}

作图

流行的例子

(150)^2=(x)^2+(3x+15)^2

(150)^{2} = (x)^{2} + (3 x + 15)^{2}

6 x^{2} - 10 x + 5 = 0

9 v^{2} = 30 v - 25

solvefor x,x^2+3y^2-6x+15y+84=0

so l v e f or x, x^{2} + 3 y^{2} - 6 x + 15 y + 84 = 0

(x-9)^2+(x-8)^2=x^2

(x - 9)^{2} + (x - 8)^{2} = x^{2}