Q109 of 134 Page 4


Determine the nature of roots of the quadratic equation x 2– 6x+ 9 = 0.


In this equation x 2 – 6x + 9 = 0

a = 1, b = -6 and c = 9 as per the equation given above.

Putting the values of a, b and c in the equation b 2 – 4ac
b 2 – 4ac = (-6) 2 – 4(1)(9)
= 36 – 36
= 0
Since b 2 – 4ac = 0,

The equation has two real and equal roots.

More from this chapter

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107
If H and K are the roots of the equation 2x 2+ 7x = 4. Obtainthe value of
(i) H + K
(ii) HK
(iii) discriminant.
 108
Frame the quadratic equations whose only root is -6.
 1

If one root of the quadratic equation 2x2+kx-6=0 is 2, find the value of k. Also find the other root.

 2

Find the Value(s) of k for which the quadratic equation 2x2 – kx + k = 0 has equal roots.