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受欢迎的代数 >

4t(3-t)=4t+3

解答

4 t (3 - t) = 4 t + 3

解答

t = \frac{1}{2}, t = \frac{3}{2}

+1

十进制

t = 0.5, t = 1.5

求解步骤

4 t (3 - t) = 4 t + 3

展开

4 t (3 - t) : 12 t - 4 t^{2}

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

将

3

para o lado esquerdo

12 t - 4 t^{2} - 3 = 4 t

将

4 t

para o lado esquerdo

- 4 t^{2} + 8 t - 3 = 0

使用求根公式求解

t_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 ( - 4 ) ( - 3 )}{2 ( - 4 )}

8^{2} - 4 (- 4) (- 3) = 4

t_{1, 2} = \frac{- 8 \pm 4}{2 ( - 4 )}

将解分隔开

t_{1} = \frac{- 8 + 4}{2 ( - 4 )}, t_{2} = \frac{- 8 - 4}{2 ( - 4 )}

t = \frac{- 8 + 4}{2 ( - 4 )} : \frac{1}{2}

t = \frac{- 8 - 4}{2 ( - 4 )} : \frac{3}{2}

二次方程组的解是:

t = \frac{1}{2}, t = \frac{3}{2}

作图

流行的例子

(a + c) (a - c) = 0

solvefor x,((p-3)(p+5))*x^2-4x+8=0

so l v e f or x, ((p - 3) (p + 5)) \cdot x^{2} - 4 x + 8 = 0

xlog_{10}(10)(x-3)=2

x lo g_{10} (10) (x - 3) = 2

solvefor x,2x^2-4xy+2y^2-5x-5=0

so l v e f or x, 2 x^{2} - 4 x y + 2 y^{2} - 5 x - 5 = 0

solvefor x,z^2= 324/972 (x^2+y^2)

so l v e f or x, z^{2} = \frac{324}{972} (x^{2} + y^{2})