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受欢迎的代数 >

17a^2-22a+10=10a^2+2a+7

解答

17 a^{2} - 22 a + 10 = 10 a^{2} + 2 a + 7

解答

a = \frac{12 + 123}{7}, a = \frac{12 - 123}{7}

+1

十进制

a = 3.29864 \dots, a = 0.12992 \dots

求解步骤

17 a^{2} - 22 a + 10 = 10 a^{2} + 2 a + 7

将

7

para o lado esquerdo

17 a^{2} - 22 a + 3 = 10 a^{2} + 2 a

将

2 a

para o lado esquerdo

17 a^{2} - 24 a + 3 = 10 a^{2}

将

10 a^{2}

para o lado esquerdo

7 a^{2} - 24 a + 3 = 0

使用求根公式求解

a_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 7 \cdot 3}{2 \cdot 7}

(- 24)^{2} - 4 \cdot 7 \cdot 3 = 2123

a_{1, 2} = \frac{- ( - 24 ) \pm 2 123}{2 \cdot 7}

将解分隔开

a_{1} = \frac{- ( - 24 ) + 2 123}{2 \cdot 7}, a_{2} = \frac{- ( - 24 ) - 2 123}{2 \cdot 7}

a = \frac{- ( - 24 ) + 2 123}{2 \cdot 7} : \frac{12 + 123}{7}

a = \frac{- ( - 24 ) - 2 123}{2 \cdot 7} : \frac{12 - 123}{7}

二次方程组的解是:

a = \frac{12 + 123}{7}, a = \frac{12 - 123}{7}

作图

流行的例子

a^2b^2x^2-(a^2+b^2)x+1=0

a^{2} b^{2} x^{2} - (a^{2} + b^{2}) x + 1 = 0

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9 + 16 = x^{2}

d = d^{1} - d^{2}

0.75(0.25-x+x^2)=x^2

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