Question

Solve the equation by factorization y^2/3 -2y^1/3 =15

Answer 1

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Answer 2

Answer:

y=125 and y=-27

Step-by-step explanation:

Given: $y^{2/3}-2y^{1/3}=15$

Let $y^{1/3}=x$

Put x into equation

$(y^{1/3})^2-2(y^{1/3})=15$

$x^2-2x=15$

Subtract 15 both sides ( Subtraction property of equality ).

$x^2-2x-15=0$

$(x-5)(x+3)=0$

$x=5,-3$

$y^{1/3}=5$

$y=125$

$y^{1/3}=-3$

$y=-27$

Hence, The values of y are 125 and -27