Question

Sum of all values of x satisfying the equation25^(2x-x2+1)+9^(2x-x2+1) = 34 (15^(2x-x2 ))is :​

Answer 1

Answer:

f(x)=

∣

∣

∣

∣

∣

2x

(2x−1)

2

∣

∣

∣

∣

∣

=1

∣2x∣2x−1∣∣=1

2x−1<0

x<

2

1

x∈[−4,0]

−2x×(−(2x−1))=1

4x

2

−2x=1

4x

2

−2x−1=0

x∈[0,

2

1

]

2x(1−2x)=1

2x−4x

2

=1

4x

2

−2x+1=0

x>

2

1

4x

2

−2x=1

4x

2

−2x−1=0

sum=0

∵ No integral values possible.