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人気のある代数 >

solvefor p,4x^2-9=(px+t)(px-t)

解

解く

p, 4 x^{2} - 9 = (p x + t) (p x - t)

解

p = \frac{4 x ^{2} + t ^{2} - 9}{x}, p = - \frac{4 x ^{2} + t ^{2} - 9}{x}; x \neq = 0

解答ステップ

4 x^{2} - 9 = (p x + t) (p x - t)

拡張

(p x + t) (p x - t) : p^{2} x^{2} - t^{2}

4 x^{2} - 9 = p^{2} x^{2} - t^{2}

辺を交換する

p^{2} x^{2} - t^{2} = 4 x^{2} - 9

9

を左側に移動します

p^{2} x^{2} - t^{2} + 9 = 4 x^{2}

4 x^{2}

を左側に移動します

p^{2} x^{2} - t^{2} + 9 - 4 x^{2} = 0

標準的な形式で書く

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

x^{2} p^{2} - t^{2} + 9 - 4 x^{2} = 0

解くとthe二次式

p_{1, 2} = \frac{- 0 \pm 0 ^{2} - 4 x ^{2} ( - t ^{2} + 9 - 4 x ^{2} )}{2 x ^{2}}

簡素化

0^{2} - 4 x^{2} (- t^{2} + 9 - 4 x^{2}) : 2 x - 9 + 4 x^{2} + t^{2}

p_{1, 2} = \frac{- 0 \pm 2 x - 9 + 4 x ^{2} + t ^{2}}{2 x ^{2}}; x \neq = 0

解を分離する

p_{1} = \frac{- 0 + 2 x - 9 + 4 x ^{2} + t ^{2}}{2 x ^{2}}, p_{2} = \frac{- 0 - 2 x - 9 + 4 x ^{2} + t ^{2}}{2 x ^{2}}

p = \frac{- 0 + 2 x - 9 + 4 x ^{2} + t ^{2}}{2 x ^{2}} : \frac{4 x ^{2} + t ^{2} - 9}{x}

p = \frac{- 0 - 2 x - 9 + 4 x ^{2} + t ^{2}}{2 x ^{2}} : - \frac{4 x ^{2} + t ^{2} - 9}{x}

二次equationの解:

p = \frac{4 x ^{2} + t ^{2} - 9}{x}, p = - \frac{4 x ^{2} + t ^{2} - 9}{x}; x \neq = 0

グラフ

人気の例

a^{2} - 2 a + 2 = 0

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

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

quadraticformula x^2-4x-12=0

q u a d r a t i c f or m u l a x^{2} - 4 x - 12 = 0

x^{2} - 30 = 13 x

z (1 - z) = \frac{1}{8}