Solve the following equations.
Answers
Answer:
what
Step-by-step explanation:
Given equation is x 2/3 + x 1/3 - 2 = 0
Putting x 1/3 = y, the given equation becomes
y2 + y – 2 = 0
⇒ y2 + 2y – y – 2 = 0
⇒ y(y+ 2) – 1(y + 2) = 0
⇒ (y + 2) (y – 1) = 0
⇒ y + 2 = 0 or y – 1 = 0
⇒ y = -2 or y = 1
But x 1/3 = y
∴ x 1/3 = - 2 or x 1/3 = 1
⇒ x = (- 2)3 or x = (1)3
⇒ x = - 8 or x = 1
Hence, roots are -8, 1.
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Answer:
x/2-x/3=1/4+1/5
(3x-2x)/6=9/20
x=27/10
x=2.7