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受欢迎的代数 >

22q^2+16q-5=6q^2

解答

22 q^{2} + 16 q - 5 = 6 q^{2}

解答

q = \frac{1}{4}, q = - \frac{5}{4}

+1

十进制

q = 0.25, q = - 1.25

求解步骤

22 q^{2} + 16 q - 5 = 6 q^{2}

将

6 q^{2}

para o lado esquerdo

16 q^{2} + 16 q - 5 = 0

使用求根公式求解

q_{1, 2} = \frac{- 16 \pm 1 6 ^{2} - 4 \cdot 16 ( - 5 )}{2 \cdot 16}

1 6^{2} - 4 \cdot 16 (- 5) = 24

q_{1, 2} = \frac{- 16 \pm 24}{2 \cdot 16}

将解分隔开

q_{1} = \frac{- 16 + 24}{2 \cdot 16}, q_{2} = \frac{- 16 - 24}{2 \cdot 16}

q = \frac{- 16 + 24}{2 \cdot 16} : \frac{1}{4}

q = \frac{- 16 - 24}{2 \cdot 16} : - \frac{5}{4}

二次方程组的解是:

q = \frac{1}{4}, q = - \frac{5}{4}

作图

流行的例子

15 = 5 x^{2}

2pir^2+120pir-1507.9=0

2 π r^{2} + 120 π r - 1507.9 = 0

solvefor x,2y^3+6x^2y-12x^2+6y=1

so l v e f or x, 2 y^{3} + 6 x^{2} y - 12 x^{2} + 6 y = 1

x^{2} - 11 x + 5 = 0

4 x^{2} + 24 x - 9 = 0