Question

Using the discriminant, the following quadratic equation y=-x^2-5 has ___ solutions

Answer 1

Answer: -124

- 1: Simplifying the given quadratic equation

⇒ (x + 5)

2

= 2(5x - 3)

⇒ x

2

+ 10x + 25 = 10x - 6 [∵(a+b)

2

=a

2

+2ab+b

2

]

⇒ x

2

+ 31 = 0

Step - 2: Calculating discriminant using formula

Here a = 1, b = 0 and c = 31

⇒ D = 0 - (4×1×31)

⇒ D = - 124

Hence Discriminant of the given quadratic equation is - 124.