What is the answer to x^3x^{4/3}=xa ?

The answer to x^3x^{4/3}=xa is x=0,x=\sqrt[10]{a^3} {a>= 0},x=-\sqrt[10]{a^3} {a>= 0}

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x^3x^{4/3}=xa

x^{3} x^{\frac{4}{3}} = x a

Solution steps

x^{3} x^{\frac{4}{3}} = x a

Move

x a

to the left side

x^{3} x^{\frac{4}{3}} - x a = 0

Factor

x^{3} x^{\frac{4}{3}} - x a : x (x^{\frac{4}{3}} x^{2} - a)

x (x^{\frac{4}{3}} x^{2} - a) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{\frac{4}{3}} x^{2} - a = 0

Solve

Verify Solutions:

x = 0

True

The solutions are

x - 9 = - 6

3 x + 34 - 2 = x

x^{2} + 5 = 2 x + 1

4 x^{2} + 4 x + 1 = 3 - 4 x

x - 2 x + 4 + 5 = x + 3

What is the answer to x^3x^{4/3}=xa ?
The answer to x^3x^{4/3}=xa is x=0,x=\sqrt[10]{a^3} {a>= 0},x=-\sqrt[10]{a^3} {a>= 0}