Question #62fa4

1 Answer
Nghi N
May 28, 2017

#- 1 +- sqrt10/2#

Explanation:

y = -2x^2 - 4x + 3 = 0
Since D = b^2 - 4ac = 16 + 24 = 40 is not a perfect square, then we can't use the factoring method.
In this case, the best way is using the improved quadratic formula (Socratic Search).
#D = d^2 = b^2 - 4ac = 40# --> #d = +- 2sqrt10#
There are 2 real roots:
#x = -b/(2a) +- d/(2a) = 4/-4 +- (2sqrt10)/-4 = - 1 +- sqrt10/2#

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