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受欢迎的代数 >

solvefor x,x^2+4y^2-2x+8y+5=0

解答

求解

x, x^{2} + 4 y^{2} - 2 x + 8 y + 5 = 0

解答

x = 1 + 2 - y^{2} - 2 y - 1, x = 1 - 2 - y^{2} - 2 y - 1

求解步骤

x^{2} + 4 y^{2} - 2 x + 8 y + 5 = 0

改写成标准形式

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

x^{2} - 2 x + 4 y^{2} + 8 y + 5 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 1 \cdot ( 4 y ^{2} + 8 y + 5 )}{2 \cdot 1}

化简

(- 2)^{2} - 4 \cdot 1 \cdot (4 y^{2} + 8 y + 5) : 4 - y^{2} - 2 y - 1

x_{1, 2} = \frac{- ( - 2 ) \pm 4 - y ^{2} - 2 y - 1}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 2 ) + 4 - y ^{2} - 2 y - 1}{2 \cdot 1}, x_{2} = \frac{- ( - 2 ) - 4 - y ^{2} - 2 y - 1}{2 \cdot 1}

x = \frac{- ( - 2 ) + 4 - y ^{2} - 2 y - 1}{2 \cdot 1} : 1 + 2 - y^{2} - 2 y - 1

x = \frac{- ( - 2 ) - 4 - y ^{2} - 2 y - 1}{2 \cdot 1} : 1 - 2 - y^{2} - 2 y - 1

二次方程组的解是:

x = 1 + 2 - y^{2} - 2 y - 1, x = 1 - 2 - y^{2} - 2 y - 1

作图

流行的例子

solvefor x,z^2(p^2+q^2)=x^2+y^2

so l v e f or x, z^{2} (p^{2} + q^{2}) = x^{2} + y^{2}

5x^2+4x+(k+1)=0

5 x^{2} + 4 x + (k + 1) = 0

sqrt(3)*x^2+10x-8sqrt(3)=0

3 \cdot x^{2} + 10 x - 83 = 0

solvefor a,m^2+a^2=0

so l v e f or a, m^{2} + a^{2} = 0

log_{10}(10)(a(a+3))=1

lo g_{10} (10) (a (a + 3)) = 1