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人気のある代数 >

3x^2+8x+5=sqrt(33x^2+76x+35)

解

3 x^{2} + 8 x + 5 = 33 x^{2} + 76 x + 35

解

x = \frac{1}{3}, x = - \frac{5}{3}, x = - 2 + 2, x = - 2 - 2

+1

十進法表記

x = 0.33333 \dots, x = - 1.66666 \dots, x = - 0.58578 \dots, x = - 3.41421 \dots

解答ステップ

3 x^{2} + 8 x + 5 = 33 x^{2} + 76 x + 35

両辺を2乗する:

9 x^{4} + 48 x^{3} + 94 x^{2} + 80 x + 25 = 33 x^{2} + 76 x + 35

9 x^{4} + 48 x^{3} + 94 x^{2} + 80 x + 25 = 33 x^{2} + 76 x + 35

解く

9 x^{4} + 48 x^{3} + 94 x^{2} + 80 x + 25 = 33 x^{2} + 76 x + 35 : x = \frac{1}{3}, x = - \frac{5}{3}, x = - 2 + 2, x = - 2 - 2

x = \frac{1}{3}, x = - \frac{5}{3}, x = - 2 + 2, x = - 2 - 2

解を検算する:

x = \frac{1}{3}

真

, x = - \frac{5}{3}

真

, x = - 2 + 2

真

, x = - 2 - 2

真

解答は

x = \frac{1}{3}, x = - \frac{5}{3}, x = - 2 + 2, x = - 2 - 2

グラフ

人気の例

(x/(sqrt(1+x^2)))=sqrt(2)-1

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

k=4+sqrt(48-4k)

k = 4 + 48 - 4 k

\sqrt[3]{x+5}-2=0

3 x + 5 - 2 = 0

3x+5=sqrt(2-2x)

3 x + 5 = 2 - 2 x

sqrt(4x)+4=sqrt(9x+28)

4 x + 4 = 9 x + 28