What is the answer to roots ax*e^{bx} ?

The answer to roots ax*e^{bx} is x=0

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roots ax*e^{bx}

roots

a x \cdot e^{b x}

x = 0

Solution steps

a x e^{b x}

The roots are the intercepts with the x-axis

(y = 0)

a x e^{b x} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or e^{b x} = 0

Solve

e^{b x} = 0 :

No Solution for

x \in R

x = 0

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