Quadratic Equation In Standard Form

Quadratic equation in standard form

 

Answer:

It is ax²+by+c=0

Step-by-step explanation:

Problem: Rewrite the equation 3x + 2x² + 4 = 5 in standard form and identify a, b, and c.

Solution:

  1. First be sure that the right side of the equation is 0. In this case, all you need to do is subtract 5 from both sides
  • 3x+2x²+4=
  • 3x+2x²+4-5=5-5
  1. Simplify, and write the terms with the exponent on the variable in descending order.
  • 3x+2x²-1=0
  • 2x²+3x-1=0; where
  1. Now that the equation is in standard form, you can read the values of a, b, and c from the coefficients and constant. Note that since the constant 1 is subtracted, c must be negative.
  • 2x² is ax², 3x is bx, and -1 is c.

a: 2; b:3; c:-1


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