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受欢迎的代数 >

2w^2-5w-14=-5

解答

2 w^{2} - 5 w - 14 = - 5

解答

w = \frac{5 + 97}{4}, w = \frac{5 - 97}{4}

+1

十进制

w = 3.71221 \dots, w = - 1.21221 \dots

求解步骤

2 w^{2} - 5 w - 14 = - 5

将

5

para o lado esquerdo

2 w^{2} - 5 w - 9 = 0

使用求根公式求解

w_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 2 ( - 9 )}{2 \cdot 2}

(- 5)^{2} - 4 \cdot 2 (- 9) = 97

w_{1, 2} = \frac{- ( - 5 ) \pm 97}{2 \cdot 2}

将解分隔开

w_{1} = \frac{- ( - 5 ) + 97}{2 \cdot 2}, w_{2} = \frac{- ( - 5 ) - 97}{2 \cdot 2}

w = \frac{- ( - 5 ) + 97}{2 \cdot 2} : \frac{5 + 97}{4}

w = \frac{- ( - 5 ) - 97}{2 \cdot 2} : \frac{5 - 97}{4}

二次方程组的解是:

w = \frac{5 + 97}{4}, w = \frac{5 - 97}{4}

作图

流行的例子

completesquare 3x^2+6x+1

co m pl e t es q u a re 3 x^{2} + 6 x + 1

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

(t^2-1)/3 =t^2-51

\frac{t ^{2} - 1}{3} = t^{2} - 51

solvefor a,9a=16-a^2

so l v e f or a, 9 a = 16 - a^{2}

4 x^{2} - x - 9 = 0