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受欢迎的代数 >

6q^2-q-15=0

解答

6 q^{2} - q - 15 = 0

解答

q = \frac{5}{3}, q = - \frac{3}{2}

+1

十进制

q = 1.66666 \dots, q = - 1.5

求解步骤

6 q^{2} - q - 15 = 0

使用求根公式求解

q_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 6 ( - 15 )}{2 \cdot 6}

(- 1)^{2} - 4 \cdot 6 (- 15) = 19

q_{1, 2} = \frac{- ( - 1 ) \pm 19}{2 \cdot 6}

将解分隔开

q_{1} = \frac{- ( - 1 ) + 19}{2 \cdot 6}, q_{2} = \frac{- ( - 1 ) - 19}{2 \cdot 6}

q = \frac{- ( - 1 ) + 19}{2 \cdot 6} : \frac{5}{3}

q = \frac{- ( - 1 ) - 19}{2 \cdot 6} : - \frac{3}{2}

二次方程组的解是:

q = \frac{5}{3}, q = - \frac{3}{2}

作图

流行的例子

x (3 x + 8) = 3

2 x^{2} - (x + 2)^{2} = 1

1/3 =(x^2)/6-(x(x+2))/4

\frac{1}{3} = \frac{x ^{2}}{6} - \frac{x ( x + 2 )}{4}

15 d^{2} + 31 d + 15 = 5

4 r^{2} - 5 r - 5 = 3 r