Question

write the discriminant of the quadratic equation X + 5 whole square is equal to 25 x minus 3​

Answer 1

(X+5)2=2(5x-3)
X2+25+10x=10x-6
x2+31=0
b2-4ac=0
=(0)2-4(1)(31)
=0-124
=-124
discriminant=-124

Answer 2

Answer:

The discriminant of the eqn will be D = -124

Step-by-step explanation:

The given eqn can be further reduced to form a standard quadratic eqn,

(x + 5)² = 2(5x - 3)

=> x² + 10x + 25 = 10x - 6

=> x² + 10x + 25 - 10x + 6 = 0

=> x² + 31 = 0

The co-efficient of this quadratic eqn are written as,

a = 1 , b = 0, c = 31

Hence the discriminant of the eqn is given by,

D = b² - 4ac

=> D = 0² - 4 x 1 x 31

=> D = -124