Math Problem Statement

Evaluate b^2 - 4b when b= -5

Solution

To evaluate the expression b24bb^2 - 4b when b=5b = -5, let's substitute b=5b = -5 into the expression:

b24b=(5)24(5)b^2 - 4b = (-5)^2 - 4(-5)

  1. First, calculate (5)2(-5)^2: (5)2=25(-5)^2 = 25

  2. Now, calculate 4(5)-4(-5): 4(5)=20-4(-5) = 20

  3. Add the results: 25+20=4525 + 20 = 45

So, b24b=45b^2 - 4b = 45 when b=5b = -5.

Would you like further details on this?

Here are some related questions:

  1. What happens to the expression if bb is a positive value?
  2. Can you graph the quadratic expression b24bb^2 - 4b?
  3. What is the factorized form of the quadratic expression b24bb^2 - 4b?
  4. What is the vertex of the parabola represented by b24bb^2 - 4b?
  5. How would the result change if we added a constant to the expression?

Tip: Always simplify individual terms before adding or subtracting them for accuracy.

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Expressions

Formulas

b^2 - 4b
Quadratic expression simplification

Theorems

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Suitable Grade Level

Grades 7-9