Question

Найдите значение параметра z, если z^2 = (z+14)^2

Answer 1

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Answer 2

To find the value of parameter z, we need to solve the equation z^2 = (z + 14)^2. Let's proceed step-by-step:

Step 1: Expand the right side of the equation (z + 14)^2.

(z + 14)^2 = (z + 14)(z + 14) = z(z) + z(14) + 14(z) + 14(14) = z^2 + 14z + 14z + 196 = z^2 + 28z + 196

Step 2: Now, we have the equation as z^2 = z^2 + 28z + 196. To solve for z, we'll simplify the equation:

Subtract z^2 from both sides:

z^2 - z^2 = z^2 + 28z + 196 - z^2 0 = 28z + 196

Step 3: Now, isolate the z term:

28z = -196

Step 4: Finally, solve for z:

z = -196 / 28

z = -7

So, the value of the parameter z is -7.