Answer:
(x = 4/5 + 2/5 sqrt 74) or (x = 4/5 - 2/5 sqrt 74)
Step-by-step explanation:
Quadratic equation:
X = [ -b +- (sqrt b^2 - 4ac)] / 2a
20x^2 - 32 x - 224 = 0
a = 20, b = -32, and c = -224
X = - ( - 32 ) + - [sqrt -32^2 - 4(20)(-224)] /(2*20)
X = ( 32 + - sqrt 18944) / 40 (18944 = 2^8 times 74)
X = [32/40 + - (sqrt 2^8 * 74)] / 40
X = 4/5 + - (2^4 sqrt 74/40)
X = 4/5 + - 16/40 sqrt 74
(x = 4/5 + 2/5 sqrt 74) or (x = 4/5 - 2/5 sqrt 74)
