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受欢迎的代数 >

q(q+7)=5q^2-3

解答

q (q + 7) = 5 q^{2} - 3

解答

q = - \frac{- 7 + 97}{8}, q = \frac{7 + 97}{8}

+1

十进制

q = - 0.35610 \dots, q = 2.10610 \dots

求解步骤

q (q + 7) = 5 q^{2} - 3

展开

q (q + 7) : q^{2} + 7 q

q^{2} + 7 q = 5 q^{2} - 3

将

3

para o lado esquerdo

q^{2} + 7 q + 3 = 5 q^{2}

将

5 q^{2}

para o lado esquerdo

- 4 q^{2} + 7 q + 3 = 0

使用求根公式求解

q_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 ( - 4 ) \cdot 3}{2 ( - 4 )}

7^{2} - 4 (- 4) \cdot 3 = 97

q_{1, 2} = \frac{- 7 \pm 97}{2 ( - 4 )}

将解分隔开

q_{1} = \frac{- 7 + 97}{2 ( - 4 )}, q_{2} = \frac{- 7 - 97}{2 ( - 4 )}

q = \frac{- 7 + 97}{2 ( - 4 )} : - \frac{- 7 + 97}{8}

q = \frac{- 7 - 97}{2 ( - 4 )} : \frac{7 + 97}{8}

二次方程组的解是:

q = - \frac{- 7 + 97}{8}, q = \frac{7 + 97}{8}

作图

流行的例子

3x^2-x^2+7x+3=4

3 x^{2} - x^{2} + 7 x + 3 = 4

3 x^{2} - 6 x - 22 = 0

(x + 8) (x - 5) = 0

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

2 x^{2} = 9 x + 18