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受欢迎的代数 >

sqrt(a)x^2=2x+6

解答

a x^{2} = 2 x + 6

解答

x = \frac{1 + 6 a + 1}{a}, x = \frac{1 - 6 a + 1}{a}; a \neq = 0

求解步骤

a x^{2} = 2 x + 6

将

6

para o lado esquerdo

a x^{2} - 6 = 2 x

将

2 x

para o lado esquerdo

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

改写成标准形式

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

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

使用求根公式求解

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 a ( - 6 )}{2 a}

化简

(- 2)^{2} - 4 a (- 6) : 2 1 + 6 a

x_{1, 2} = \frac{- ( - 2 ) \pm 2 1 + 6 a}{2 a}; a \neq = 0

将解分隔开

x_{1} = \frac{- ( - 2 ) + 2 1 + 6 a}{2 a}, x_{2} = \frac{- ( - 2 ) - 2 1 + 6 a}{2 a}

x = \frac{- ( - 2 ) + 2 1 + 6 a}{2 a} : \frac{1 + 6 a + 1}{a}

x = \frac{- ( - 2 ) - 2 1 + 6 a}{2 a} : \frac{1 - 6 a + 1}{a}

二次方程组的解是:

x = \frac{1 + 6 a + 1}{a}, x = \frac{1 - 6 a + 1}{a}; a \neq = 0

作图

流行的例子

x^2=72+36sqrt(3)

x^{2} = 72 + 363

solvefor y,y^2-4y+4=X-7

so l v e f or y, y^{2} - 4 y + 4 = X - 7

40 = 2 t + 2 t^{2}

x^{2} - 7 x - \frac{3}{4} = 0

x - 6 = - 3 x^{2}