Question

number anology
1225:1190:1089:

A)1056
B)1122
C)1043
D)1097​

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.

Answer 2

Answer:

1056

Step-by-step explanation:

1225:1190::1089: x

Product of mean = product of extreme

1190×1089 = 1225×x

1190×1089/1225 = x

x = 1057.88571

x≈ 1056