Question

The minimum value of the quadratic
expression x2 + bx + c is​

Answer 1

Answer:

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Answer 2

Given:

x² + bx + c

To find:

The Minimum value of the equation

Solution:

To get the minimum value of this equation, differentiate the given equation

x² + bx + c

Differentiation is

• 2x+b

Equate this equation equal to zero

• 2x+b = 0
• x = -b/2

Put this value of x in hte given equation

x² + bx + c

• (-b/2)² + b(-b/2) + c
• b²/4 - b²/2+c
• -b²/4+c

The Minimum value of the equation is -b²/4+c