Maths-
General
Easy
Question
In the quadratic equation shown, b is constant. For what values of b does the equation have only 1 solution?
- -4 only
- -8 only
- -4 & 4
- -8 & 8
The correct answer is: -8 & 8
For a quadratic equation with only one solution, the value of its discriminant = 0 i.e. b2 - 4ac = 0
Step-by-step solution:-
Comparing the given quadratic equation with the general form i.e. 
, we get-
a = 1, b = b, c = 16
We know that for a quadratic equation with 1 solution,
∴ b = 
_____________ (Taking square roots both the sides)
Final Answer:-
Option D i.e. -8 & 8 is the correct Option.
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