Question

K. Fill in the blanks with the Simple Past or Past Continuous forms of the verbs given in
brackets.

.... (see) us
Yesterday, it
(start) to rain while we
(play) cricket. My
mother who ....
(watch) us play
(tell) to come inside. We
.... (enjoy) the game so much that we.
(continue) to play
Soon my father
...... (come) back from office and ......
getting wet. My mother
........ (think) he would be angry with us. She again
(scold) us and
(tell) us to come in. My father
(go)in and ............
(put) down his bag.
He
(take) off the tie he
...... (wear) and
(throw) it on the bed. Then he
(run) down the steps and
...... (join) us on the lawn. My mother ....
(find) it difficult to
believe what she.....
(see)!​

Answer 1

Answer:

This implies that

x2+2ax=4x−4a−13

or

x2+2ax−4x+4a+13=0

or

x2+(2a−4)x+(4a+13)=0

Since the equation has just one solution instead of the usual two distinct solutions, then the two solutions must be same i.e. discriminant = 0.

Hence we get that

(2a−4)2=4⋅1⋅(4a+13)

or

4a2−16a+16=16a+52

or

4a2−32a−36=0

or

a2−8a−9=0

or

(a−9)(a+1)=0

So the values of a are −1 and 9.