Question

if y^2 + 1/y^2 = 6, find the value of y - 1/y.​

Answer 1

Answer:

= 2

Step-by-step explanation:

if

y2+1

y2=6

, find the value of y−1y

Find the LCD of the terms in the equation.

y2

Multiply each term by y2 and simplify.

y4+1=6

y2

Solve the equation.

y=√5.82842712,

−√5.82842712,√0.17157287,

−√0.17157287

Exclude the solutions that do not make

y2+1

y2=6 true.

y=√5.82842712,

−√5.82842712,√0.17157287,

−√0.17157287

Replace the variable y with √5.82842712

in the expression.

(√5.82842712)−1√5.82842712

Simplify each term.

√5.82842712−0.41421356

Subtract 0.41421356 from √5.82842712.

=2

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