Problem Solving

AbeNeedsAnswers wrote: ↑

Fri Jun 05, 2020 6:21 pm

If Z is not equal to 0 and Z + (1 – 2Z^2)/Z = W/Z, then W =

A. Z + 1
B. Z^2 + 1
C. –Z^2 + 1
D. –Z^2 + Z + 1
E. – 2Z^2 + 1

C

So we have Z + (1 – 2Z^2)/Z = W/Z

Since we want the value of W, we must get rid of Z from W/Z. To do that let's multiply the equation by Z.

So, we get Z*[Z + (1 – 2Z^2)/Z] = Z*[W/Z]

Z^2 + (1 – 2Z^2) = W

X = 1 – Z^2

The correct answer: C

Hope this helps!

-Jay
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AbeNeedsAnswers wrote: ↑

Fri Jun 05, 2020 6:21 pm

If Z is not equal to 0 and Z + (1 – 2Z^2)/Z = W/Z, then W =

A. Z + 1
B. Z^2 + 1
C. –Z^2 + 1
D. –Z^2 + Z + 1
E. – 2Z^2 + 1

C

Given: z + (1 - 2z²)/z = w/z

Eliminate the fractions, multiply both sides of the equation by z to get: z² + (1 - 2z²) = w

Simplify to get: 1 - z² = w

Rewrite as: -z² + 1= w

Answer: C

Cheers,
Brent

AbeNeedsAnswers wrote: ↑

Fri Jun 05, 2020 6:21 pm

If Z is not equal to 0 and Z + (1 – 2Z^2)/Z = W/Z, then W =

A. Z + 1
B. Z^2 + 1
C. –Z^2 + 1
D. –Z^2 + Z + 1
E. – 2Z^2 + 1

C

Solution:

Simplifying, we have:

Z + 1/Z - 2Z = W/Z

-Z + 1/Z = W/Z

Multiplying both sides by Z (which we can do since Z ≠ 0), we have:

-Z^2 + 1 = W

Answer: C