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人気のある代数 >

a(x)=x^2+3x-10

解

a (x) = x^{2} + 3 x - 10

解

x = \frac{- 3 + a + a ^{2} - 6 a + 49}{2}, x = \frac{- 3 + a - a ^{2} - 6 a + 49}{2}

解答ステップ

a (x) = x^{2} + 3 x - 10

改良

a x = x^{2} + 3 x - 10

辺を交換する

x^{2} + 3 x - 10 = a x

a x

を左側に移動します

x^{2} + 3 x - 10 - a x = 0

標準的な形式で書く

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

x^{2} + (3 - a) x - 10 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( 3 - a ) \pm ( 3 - a ) ^{2} - 4 \cdot 1 \cdot ( - 10 )}{2 \cdot 1}

簡素化

(3 - a)^{2} - 4 \cdot 1 \cdot (- 10) : a^{2} - 6 a + 49

x_{1, 2} = \frac{- ( 3 - a ) \pm a ^{2} - 6 a + 49}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( 3 - a ) + a ^{2} - 6 a + 49}{2 \cdot 1}, x_{2} = \frac{- ( 3 - a ) - a ^{2} - 6 a + 49}{2 \cdot 1}

x = \frac{- ( 3 - a ) + a ^{2} - 6 a + 49}{2 \cdot 1} : \frac{- 3 + a + a ^{2} - 6 a + 49}{2}

x = \frac{- ( 3 - a ) - a ^{2} - 6 a + 49}{2 \cdot 1} : \frac{- 3 + a - a ^{2} - 6 a + 49}{2}

二次equationの解:

x = \frac{- 3 + a + a ^{2} - 6 a + 49}{2}, x = \frac{- 3 + a - a ^{2} - 6 a + 49}{2}

グラフ

人気の例

solvefor x,x^2-3xy=10

so l v e f or x, x^{2} - 3 x y = 10

mx^2+(2m-3)x+m-3=0

m x^{2} + (2 m - 3) x + m - 3 = 0

solvefor p,xp^2+(x-y)p+1-y=0

so l v e f or p, x p^{2} + (x - y) p + 1 - y = 0

15 x^{2} - 19 x + 6 = 0

solvefor x,4x^2-3kx+1=0

so l v e f or x, 4 x^{2} - 3 k x + 1 = 0