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受欢迎的代数 >

8b+b^2-10=0

解答

8 b + b^{2} - 10 = 0

解答

b = - 4 + 26, b = - 4 - 26

+1

十进制

b = 1.09901 \dots, b = - 9.09901 \dots

求解步骤

8 b + b^{2} - 10 = 0

改写成标准形式

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

b^{2} + 8 b - 10 = 0

使用求根公式求解

b_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 1 \cdot ( - 10 )}{2 \cdot 1}

8^{2} - 4 \cdot 1 \cdot (- 10) = 226

b_{1, 2} = \frac{- 8 \pm 2 26}{2 \cdot 1}

将解分隔开

b_{1} = \frac{- 8 + 2 26}{2 \cdot 1}, b_{2} = \frac{- 8 - 2 26}{2 \cdot 1}

b = \frac{- 8 + 2 26}{2 \cdot 1} : - 4 + 26

b = \frac{- 8 - 2 26}{2 \cdot 1} : - 4 - 26

二次方程组的解是:

b = - 4 + 26, b = - 4 - 26

作图

流行的例子

(-12/13)^2+x^2=1

(- \frac{12}{13})^{2} + x^{2} = 1

\frac{1}{2} x^{2} + 7 x = 0

x^2-3x-44=-3x+5-3x+5

x^{2} - 3 x - 44 = - 3 x + 5 - 3 x + 5

solvefor y,x^4-7xy^2+y=7

so l v e f or y, x^{4} - 7 x y^{2} + y = 7

x^{2} + (\frac{5}{13})^{2} = 1