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受欢迎的代数 >

4/9 a^2-1/4 a=5

解答

\frac{4}{9} a^{2} - \frac{1}{4} a = 5

解答

a = \frac{9 + 3 1289}{32}, a = \frac{9 - 3 1289}{32}

+1

十进制

a = 3.64712 \dots, a = - 3.08462 \dots

求解步骤

\frac{4}{9} a^{2} - \frac{1}{4} a = 5

找到

9, 4

的最小公倍数:

36

乘以最小公倍数=

36

\frac{4}{9} a^{2} \cdot 36 - \frac{1}{4} a \cdot 36 = 5 \cdot 36

化简

16 a^{2} - 9 a = 180

将

180

para o lado esquerdo

16 a^{2} - 9 a - 180 = 0

使用求根公式求解

a_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 16 ( - 180 )}{2 \cdot 16}

(- 9)^{2} - 4 \cdot 16 (- 180) = 31289

a_{1, 2} = \frac{- ( - 9 ) \pm 3 1289}{2 \cdot 16}

将解分隔开

a_{1} = \frac{- ( - 9 ) + 3 1289}{2 \cdot 16}, a_{2} = \frac{- ( - 9 ) - 3 1289}{2 \cdot 16}

a = \frac{- ( - 9 ) + 3 1289}{2 \cdot 16} : \frac{9 + 3 1289}{32}

a = \frac{- ( - 9 ) - 3 1289}{2 \cdot 16} : \frac{9 - 3 1289}{32}

二次方程组的解是:

a = \frac{9 + 3 1289}{32}, a = \frac{9 - 3 1289}{32}

作图

流行的例子

(5 + y)^{2} + y^{2} = 37

completesquare x^2+6x=-5

co m pl e t es q u a re x^{2} + 6 x = - 5

solvefor x,f=2x^2-2y

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

- 16 t^{2} + 1600 = 0

8 (3 x^{2} + 4) = 0