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人気のある代数 >

9x^4+49=58x^2

解

9 x^{4} + 49 = 58 x^{2}

解

x = \frac{7}{3}, x = - \frac{7}{3}, x = 1, x = - 1

+1

十進法表記

x = 2.33333 \dots, x = - 2.33333 \dots, x = 1, x = - 1

解答ステップ

9 x^{4} + 49 = 58 x^{2}

58 x^{2}

を左側に移動します

9 x^{4} + 49 - 58 x^{2} = 0

標準的な形式で書く

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

9 x^{4} - 58 x^{2} + 49 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

9 u^{2} - 58 u + 49 = 0

解く

9 u^{2} - 58 u + 49 = 0 : u = \frac{49}{9}, u = 1

u = \frac{49}{9}, u = 1

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{49}{9} : x = \frac{7}{3}, x = - \frac{7}{3}

解く

x^{2} = 1 : x = 1, x = - 1

解答は

x = \frac{7}{3}, x = - \frac{7}{3}, x = 1, x = - 1

グラフ

人気の例

x^3-125x^2+3842x-16129=0

x^{3} - 125 x^{2} + 3842 x - 16129 = 0

solvefor x,x^3=6y

so l v e f or x, x^{3} = 6 y

x^4-6x^3+7x^2+6x-8=0

x^{4} - 6 x^{3} + 7 x^{2} + 6 x - 8 = 0

(2 x - 1)^{6} = 64

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