x2/3+x1/3-2=0 ho to x ka man kya hoga
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the value of x is equal to 2. I hope it is useful for you
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Answer:
value of x = - 8 and 1
Step-by-step explanation:
Given
x ^ 2/3 + x^ (1/3) - 2 = 0
Let x ^ (1/3) = y
y² + y - 2 = 0
Now factorize the quadratic equation by splitting middle term
y² + 2 y - y - 2 = 0
y (y + 2) - 1 (y - 2)
(y - 1) (y + 2) = 0
y - 1 = 0
y = 1
y + 2 = 0
y = - 2
Now, we know y = x ^ 1/3 = 1
therefore x = 1
or y = x ^ 1/3 = - 2
x ^ 1/3 = - 2
Take cube both side of the equation,
(x ^ 1/3) ^ 3 = (- 2)^3
x = - 8
So the value of x = - 8 and 1
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