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d(x)=12x^2-10x

解答

d (x) = 12 x^{2} - 10 x

解答

x = 0, x = \frac{d + 10}{12}

求解步骤

d (x) = 12 x^{2} - 10 x

整理后得

d x = 12 x^{2} - 10 x

交换两边

12 x^{2} - 10 x = d x

将

d x

para o lado esquerdo

12 x^{2} - 10 x - d x = 0

因式分解

12 x^{2} - 10 x - d x : x (12 x - d - 10)

x (12 x - d - 10) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or 12 x - d - 10 = 0

解

12 x - d - 10 = 0 : x = \frac{d + 10}{12}

二次方程组的解是:

x = 0, x = \frac{d + 10}{12}

作图

流行的例子

y^{''}-y^'-6y=12x-e^x,y(0)=1,y^'(0)=-2

y^{^{''}} - y^{^{'}} - 6 y = 12 x - e^{x}, y (0) = 1, y^{^{'}} (0) = - 2

y^{''}-3y^'+2y=(e^{2x})/(e^{2x)+1}

y^{^{''}} - 3 y^{^{'}} + 2 y = \frac{e ^{2 x}}{e ^{2 x} + 1}

solvefor D,D(t)=5cos(pi/6 t+(7pi)/6)+3

so l v e f or D, D (t) = 5 cos (\frac{π}{6} t + \frac{7 π}{6}) + 3

y^{''}-10y^'+25y=e^{5t}ln(t)

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(D^{2} + 6 D + 9) y = \frac{16 e ^{- 3 x}}{x ^{2} + 1}