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受欢迎的代数 >

5q^2=18q+8

解答

5 q^{2} = 18 q + 8

解答

q = 4, q = - \frac{2}{5}

+1

十进制

q = 4, q = - 0.4

求解步骤

5 q^{2} = 18 q + 8

将

8

para o lado esquerdo

5 q^{2} - 8 = 18 q

将

18 q

para o lado esquerdo

5 q^{2} - 8 - 18 q = 0

改写成标准形式

a x^{2} + b x + c = 0

5 q^{2} - 18 q - 8 = 0

使用求根公式求解

q_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 5 ( - 8 )}{2 \cdot 5}

(- 18)^{2} - 4 \cdot 5 (- 8) = 22

q_{1, 2} = \frac{- ( - 18 ) \pm 22}{2 \cdot 5}

将解分隔开

q_{1} = \frac{- ( - 18 ) + 22}{2 \cdot 5}, q_{2} = \frac{- ( - 18 ) - 22}{2 \cdot 5}

q = \frac{- ( - 18 ) + 22}{2 \cdot 5} : 4

q = \frac{- ( - 18 ) - 22}{2 \cdot 5} : - \frac{2}{5}

二次方程组的解是:

q = 4, q = - \frac{2}{5}

作图

流行的例子

x^{2} + 7 x + 19 = 0

74 x^{2} + 1 = 10 x

solvefor x,f(a+1)=4x^2-x+3

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

m^{2} + 6 m + 7 = 0

solvefor x,9x^2+4y^2-12z=0

so l v e f or x, 9 x^{2} + 4 y^{2} - 12 z = 0