SOLUTION: Solve the quadratic equation by completing the square. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
4x2 + 10x − 16 = 0
Algebra ->
Quadratic Equations and Parabolas
-> SOLUTION: Solve the quadratic equation by completing the square. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
4x2 + 10x − 16 = 0
Log On
Question 781625: Solve the quadratic equation by completing the square. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
4x2 + 10x − 16 = 0 Found 2 solutions by Alan3354, stanbon:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! 4x^2 + 10x - 16 = 0
x^2 + 5x = 8
c = (b/2a)^2 = (5/2)^2
c = 25/4
------
x^2 + 5x + 25/4 = 8 + 25/4 = 57/4
(x + 5/2)^2 = 57/4
------------
There is no DNE for quadratics.
There are always 2 solutions, tho sometimes they're equal.
You can put this solution on YOUR website! Solve the quadratic equation by completing the square. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
4x2 + 10x − 16 = 0
------------
4x^2 + 10x = 16
--------
2x^2 + 5x = 8
--------
2(x^2 + (5/2)x + ? = 8 + 2*?
--------
Complete the square::
2(x^2 + (5/2)x + (5/4)^2) = 8 + 2(5/4)^2
--------
2(x+(5/4))^2 = 8 + (25/8)
--------
2(x+(5/4))^2 = 89/8
--------
(x+(5/4))^2 = 89/16
--------
x = (-5/4) + sqrt(89)/4 or x = (-5/4) - sqrt(89)/4
Cheers,
Stan H.
==========================
(