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受欢迎的代数 >

4.9t^2+6t+2=0

解答

4.9 t^{2} + 6 t + 2 = 0

解答

t = - \frac{30}{49} + i \frac{4 5}{49}, t = - \frac{30}{49} - i \frac{4 5}{49}

求解步骤

4.9 t^{2} + 6 t + 2 = 0

在两边乘以

10

49 t^{2} + 60 t + 20 = 0

使用求根公式求解

t_{1, 2} = \frac{- 60 \pm 6 0 ^{2} - 4 \cdot 49 \cdot 20}{2 \cdot 49}

化简

6 0^{2} - 4 \cdot 49 \cdot 20 : 85 i

t_{1, 2} = \frac{- 60 \pm 8 5 i}{2 \cdot 49}

将解分隔开

t_{1} = \frac{- 60 + 8 5 i}{2 \cdot 49}, t_{2} = \frac{- 60 - 8 5 i}{2 \cdot 49}

t = \frac{- 60 + 8 5 i}{2 \cdot 49} : - \frac{30}{49} + i \frac{4 5}{49}

t = \frac{- 60 - 8 5 i}{2 \cdot 49} : - \frac{30}{49} - i \frac{4 5}{49}

二次方程组的解是:

t = - \frac{30}{49} + i \frac{4 5}{49}, t = - \frac{30}{49} - i \frac{4 5}{49}

作图

流行的例子

completesquare x^2+4x-12

co m pl e t es q u a re x^{2} + 4 x - 12

solvefor y,x^2+3y^2-4x+24y=-52

so l v e f or y, x^{2} + 3 y^{2} - 4 x + 24 y = - 52

18 x - 6 = 9 x^{2}

solvefor y,x^2y^2+xy=12

so l v e f or y, x^{2} y^{2} + x y = 12

因式分解 x^2-5x-12=-5x+4

f a c t or x^{2} - 5 x - 12 = - 5 x + 4