Question

slove the radical equation y+√y²-1/y-√y²-1+y-√y²-1/y+√y²-1=2

Answer 1

Step-by-step explanation:

CASE I: y = √25

Consider this √a² = |a|

Given y = √25, we can write like this way,

y = √5²

Therefore, √5² = |5| which means y = 5

So CASE I as only one solution to this question.

CASE II: y² = 25

We write this as y² - 25 = 0

Further y² - 5² = 0

(y + 5)(y - 5) = 0 ………. [Using formula a² - b² = (a + b)(a - b)]

This means either y = 5 or y = -5

So CASE II has two solutions to this question

Answer 2

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√25