Math Problem Statement

What are the values for the coefficients and constant term of 0 = 2 + 3x2 – 5x?

a =

b =

c =

Solution

The given equation is:

0=2+3x25x0 = 2 + 3x^2 - 5x

We need to rearrange it into the standard quadratic form, which is:

ax2+bx+c=0ax^2 + bx + c = 0

Rearranging the given equation:

3x25x+2=03x^2 - 5x + 2 = 0

From this, we can identify the coefficients and the constant term:

  • a=3a = 3 (the coefficient of x2x^2),
  • b=5b = -5 (the coefficient of xx),
  • c=2c = 2 (the constant term).

Would you like more details or further clarification?

Here are 5 related questions for further exploration:

  1. How do you solve quadratic equations using the quadratic formula?
  2. What are the different methods for solving quadratic equations?
  3. How does the discriminant help in determining the nature of the roots of a quadratic equation?
  4. Can quadratic equations have complex solutions?
  5. What is the graphical representation of a quadratic equation?

Tip: Always ensure the equation is in standard form before identifying coefficients for quadratic problems.

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Equations

Formulas

Quadratic equation: ax^2 + bx + c = 0

Theorems

Quadratic Formula

Suitable Grade Level

Grades 7-9