How do you five the standard form of the following quadratic equations and identify the constants a, b and c #3x^2 = 5 - 2x#?

1 Answer
Oct 30, 2016

Answer:

The standard form of the quadratic equation is #3x^2 + 2x - 5 = 0#, #a = 3#, #b = 2 #, and #c = -5#.

Explanation:

Standard form of a quadratic equation is #ax^2 + bx + c = 0#, so we will use inverse operations to get all the terms on the left , equal to #0# on the right.

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

Now that the quadratic equation is in standard form, we can identify the constants #a#, #b#, and #c#.

#a = 3#, #b = 2#, and #c = -5#