How do you factor and solve r^2+8r+14=0?

1 Answer
Nghi N.
Jul 12, 2016

x = - 4 +- sqrt2

Explanation:

Use the improved quadratic formula in graphic form (Google)
y = r^2 + 8r + 14 = 0
D = d^2 = b^2 - 4ac = 64 - 56 = 8 --> d = +- 2sqrt2
There are 2 real roots:
x = -b/(2a) +- d/(2a) = -8/2 +- (2sqrt2)/2 = - 4 +- sqrt2
Factored form of y:
y = (x - x1)(x - x2) = (x + 4 - sqrt2)(x + 4 + sqrt2)

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