Lutasin ang y=1/4(x-40)^3+30

$$y = \frac { 1 } { 4 } ( x - 40 ) ^ { 3 } + 30$$

I-solve ang y

$$y=\frac{\left(x-40\right)^{3}+120}{4}$$

Mga Hakbang ng Solution

Gamitin ang binomial theorem na \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} para palawakin ang \left(x-40\right)^{3}.

$$y=\frac{1}{4}\left(x^{3}-120x^{2}+4800x-64000\right)+30$$

Gamitin ang distributive property para i-multiply ang \frac{1}{4} gamit ang x^{3}-120x^{2}+4800x-64000.

$$y=\frac{1}{4}x^{3}-30x^{2}+1200x-16000+30$$

Idagdag ang -16000 at 30 para makuha ang -15970.

$$y=\frac{1}{4}x^{3}-30x^{2}+1200x-15970$$

I-solve ang x (complex solution)

$$x=2^{\frac{2}{3}}\sqrt[3]{y-30}+40$$

$$x=e^{\frac{4\pi i}{3}}\sqrt[3]{4\left(y-30\right)}+40$$

$$x=2^{\frac{2}{3}}e^{\frac{2\pi i}{3}}\sqrt[3]{y-30}+40$$

I-solve ang x

$$x=2^{\frac{2}{3}}\sqrt[3]{y-30}+40$$