What are the solutions to the equation e=1.6\times 10e^{12} ?

The solutions to the equation e=1.6\times 10e^{12} are e=0,e= 1/(\sqrt[11]{16)}

Find the zeros of e=1.6\times 10e^{12}

The zeros of e=1.6\times 10e^{12} are e=0,e= 1/(\sqrt[11]{16)}

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e = 1.6 \cdot 10 e^{12}

e = 0, e = \frac{1}{11 16}

Decimal

e = 0, e = 0.77720 \dots

Solution steps

e = 1.6 \cdot 10 e^{12}

Switch sides

1.6 \cdot 10 e^{12} = e

Move

e

to the left side

16 e^{12} - e = 0

Factor

16 e^{12} - e : e (1116 e - 1) (1 6^{\frac{10}{11}} e^{10} + 1 6^{\frac{9}{11}} e^{9} + 1 6^{\frac{8}{11}} e^{8} + 1 6^{\frac{7}{11}} e^{7} + 1 6^{\frac{6}{11}} e^{6} + 1 6^{\frac{5}{11}} e^{5} + 1 6^{\frac{4}{11}} e^{4} + 1 6^{\frac{3}{11}} e^{3} + 1 6^{\frac{2}{11}} e^{2} + 1116 e + 1)

e (1116 e - 1) (1 6^{\frac{10}{11}} e^{10} + 1 6^{\frac{9}{11}} e^{9} + 1 6^{\frac{8}{11}} e^{8} + 1 6^{\frac{7}{11}} e^{7} + 1 6^{\frac{6}{11}} e^{6} + 1 6^{\frac{5}{11}} e^{5} + 1 6^{\frac{4}{11}} e^{4} + 1 6^{\frac{3}{11}} e^{3} + 1 6^{\frac{2}{11}} e^{2} + 1116 e + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

e = 0 or 1116 e - 1 = 0 or 1 6^{\frac{10}{11}} e^{10} + 1 6^{\frac{9}{11}} e^{9} + 1 6^{\frac{8}{11}} e^{8} + 1 6^{\frac{7}{11}} e^{7} + 1 6^{\frac{6}{11}} e^{6} + 1 6^{\frac{5}{11}} e^{5} + 1 6^{\frac{4}{11}} e^{4} + 1 6^{\frac{3}{11}} e^{3} + 1 6^{\frac{2}{11}} e^{2} + 1116 e + 1 = 0

Solve

1116 e - 1 = 0 : e = \frac{1}{11 16}

Solve

1 6^{\frac{10}{11}} e^{10} + 1 6^{\frac{9}{11}} e^{9} + 1 6^{\frac{8}{11}} e^{8} + 1 6^{\frac{7}{11}} e^{7} + 1 6^{\frac{6}{11}} e^{6} + 1 6^{\frac{5}{11}} e^{5} + 1 6^{\frac{4}{11}} e^{4} + 1 6^{\frac{3}{11}} e^{3} + 1 6^{\frac{2}{11}} e^{2} + 1116 e + 1 = 0 :

No Solution for

e \in R

The solutions are

e = 0, e = \frac{1}{11 16}

x, 0 = x^{4} - 12 x^{3} - 42 x^{2} + 11

x^{4} + x^{3} + x^{2} + 2 x - 2 = 0

x^{5} + x^{3} + x + 1 = 0

3 x^{4} - 4 x^{3} = 0

x^{5} - 7 x^{4} + 14 x^{3} - 2 x^{2} - 15 x + 9 = 0

What are the solutions to the equation e=1.6\times 10e^{12} ?
The solutions to the equation e=1.6\times 10e^{12} are e=0,e= 1/(\sqrt[11]{16)}
Find the zeros of e=1.6\times 10e^{12}
The zeros of e=1.6\times 10e^{12} are e=0,e= 1/(\sqrt[11]{16)}