54.0k views
5 votes
Consider the following equation.

5x^2 - 3x + 10 = (3x + 4)^2

If the above quadratic equation were used to solve for x, which of the following are the values for a,b, and c

A. a= 3,b = 12,c = 16
B. a=4,b =27,c = 6
C. a = 4,b =27,c = 26
D. a= 5,b = 3,c = 10

User Slugo
by
5.3k points

1 Answer

5 votes

Answer:

B

Explanation:

Expand the right side of the equation

5x² - 3x + 10 = 9x² + 24x + 16

Subtract 5x² - 3x + 10 from both sides

0 = 4x² + 27x + 6 ← in standard form

with a = 4, b = 27, c = 6

User Pavel Minaev
by
5.0k points