Math, asked by hiro191204, 2 months ago

z^2+ 0.5z+0.25 solve the equation​

Answers

Answered by adityas35745
0

Answer:

Step-by-step explanation:

Simplifying

0 = x2 + -0.5x + 0.25

Reorder the terms:

0 = 0.25 + -0.5x + x2

Solving

0 = 0.25 + -0.5x + x2

Solving for variable 'x'.

Combine like terms: 0 + -0.25 = -0.25

-0.25 + 0.5x + -1x2 = 0.25 + -0.5x + x2 + -0.25 + 0.5x + -1x2

Reorder the terms:

-0.25 + 0.5x + -1x2 = 0.25 + -0.25 + -0.5x + 0.5x + x2 + -1x2

Combine like terms: 0.25 + -0.25 = 0.00

-0.25 + 0.5x + -1x2 = 0.00 + -0.5x + 0.5x + x2 + -1x2

-0.25 + 0.5x + -1x2 = -0.5x + 0.5x + x2 + -1x2

Combine like terms: -0.5x + 0.5x = 0.0

-0.25 + 0.5x + -1x2 = 0.0 + x2 + -1x2

-0.25 + 0.5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0

-0.25 + 0.5x + -1x2 = 0

Begin completing the square.  Divide all terms by

-1 the coefficient of the squared term:  

Divide each side by '-1'.

0.25 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.

0.25 + -0.5x + -0.25 + x2 = 0 + -0.25

Reorder the terms:

0.25 + -0.25 + -0.5x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00

0.00 + -0.5x + x2 = 0 + -0.25

-0.5x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25

-0.5x + x2 = -0.25

The x term is -0.5x.  Take half its coefficient (-0.25).

Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.

-0.5x + 0.0625 + x2 = -0.25 + 0.0625

Reorder the terms:

0.0625 + -0.5x + x2 = -0.25 + 0.0625

Combine like terms: -0.25 + 0.0625 = -0.1875

0.0625 + -0.5x + x2 = -0.1875

Factor a perfect square on the left side:

(x + -0.25)(x + -0.25) = -0.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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