Question

How many quadratic equations can be formed with the coefficients 0, 5, 7, 9? How many equations can be framed with real roots

Answer 1

Answer:

48

Step-by-step explanation:

The general form of a quadratic equation is ax²+bx+c=0. So, there will be three coefficients a, b, and c. The only condition is that a can not be zero.

We have to make a quadratic equation formed with the coefficients 0,5,7,9.  

So, the coefficient a can not be 0 but can be 5 or,7 or,9.

If we place a=5, then the value of b and c can be arranged among 0,5,7,9 values.

Now, there can be (4×4)= 16 different combinations of values of b and c (i.e. combination of four numbers taken two at a time and where repetitions of numbers are allowed. )

Similarly, for a=7 or for a=9, there will be 16 and 16 different combinations.

Therefore, in total there can be (16×3) =48 different quadratic equations. (Answer)