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Popular Algebra >

500=0.02(t^4)/(12)

Solution

500 = 0.02 \frac{t ^{4}}{12}

Solution

Solution steps

500 = 0.02 \cdot \frac{t ^{4}}{12}

Switch sides

0.02 \cdot \frac{t ^{4}}{12} = 500

Refine

0.02 \cdot \frac{t ^{4}}{12} : \frac{0.02 t ^{4}}{12}

\frac{0.02 t ^{4}}{12} = 500

Multiply both sides by

12

0.02 t^{4} = 6000

Divide both sides by

0.02

t^{4} = 300000

Rewrite the equation with

u = t^{2}

and

u^{2} = t^{4}

u^{2} = 300000

Solve

u^{2} = 300000 : u = 300000, u = - 300000

u = 300000, u = - 300000

Substitute back

u = t^{2},

solve for

t

Solve

Solve

t^{2} = - 300000 : t = 1030 i, t = - 1030 i

The solutions are

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