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Question

What will be the condition for  (a2 - 9)x2 + bx + c = 0 to be a quadratic equation?


Solution

For any quadratic equation of standard form ax2 + bx + c = 0 the condition is a,b,c should be real number and a≠0. So considering the same here a2  - 9 should not be zero.

a2 - 9 0

 a2   9

a3,-3

So for above equation to be of degree 2, the coefficient of x2 should not be equal to zero, i.e. a≠3 and also a≠ -3. 

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