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受欢迎的代数 >

70840-188d-2.35d^2=1228.8d+30.72d^2

解答

70840 - 188 d - 2.35 d^{2} = 1228.8 d + 30.72 d^{2}

解答

d = - \frac{141680 + 14168 0 ^{2} + 93707152000}{6614}, d = \frac{14168 0 ^{2} + 93707152000 - 141680}{6614}

+1

十进制

d = - 72.42114 \dots, d = 29.57869 \dots

求解步骤

70840 - 188 d - 2.35 d^{2} = 1228.8 d + 30.72 d^{2}

在两边乘以

100

7084000 - 18800 d - 235 d^{2} = 122880 d + 3072 d^{2}

将

3072 d^{2}

para o lado esquerdo

7084000 - 18800 d - 3307 d^{2} = 122880 d

将

122880 d

para o lado esquerdo

- 3307 d^{2} - 141680 d + 7084000 = 0

使用求根公式求解

d_{1, 2} = \frac{- ( - 141680 ) \pm ( - 141680 ) ^{2} - 4 ( - 3307 ) \cdot 7084000}{2 ( - 3307 )}

(- 141680)^{2} - 4 (- 3307) \cdot 7084000 = 14168 0^{2} + 93707152000

d_{1, 2} = \frac{- ( - 141680 ) \pm 14168 0 ^{2} + 93707152000}{2 ( - 3307 )}

将解分隔开

d_{1} = \frac{- ( - 141680 ) + 14168 0 ^{2} + 93707152000}{2 ( - 3307 )}, d_{2} = \frac{- ( - 141680 ) - 14168 0 ^{2} + 93707152000}{2 ( - 3307 )}

d = \frac{- ( - 141680 ) + 14168 0 ^{2} + 93707152000}{2 ( - 3307 )} : - \frac{141680 + 14168 0 ^{2} + 93707152000}{6614}

d = \frac{- ( - 141680 ) - 14168 0 ^{2} + 93707152000}{2 ( - 3307 )} : \frac{14168 0 ^{2} + 93707152000 - 141680}{6614}

二次方程组的解是:

d = - \frac{141680 + 14168 0 ^{2} + 93707152000}{6614}, d = \frac{14168 0 ^{2} + 93707152000 - 141680}{6614}

作图

流行的例子

completesquare u^2-16u

co m pl e t es q u a re u^{2} - 16 u

12 x^{2} + 29 x + 14 = 0

solvefor x,(x+3)^2+(y+5)^2+(z-1)^2=4

so l v e f or x, (x + 3)^{2} + (y + 5)^{2} + (z - 1)^{2} = 4

x (x + 2) = 2

因式分解 y^2-2y-3=y-3

f a c t or y^{2} - 2 y - 3 = y - 3