How can i solve this \(\displaystyle{4}^{{{2}+{x}}}+{15}\cdot{4}^{{{x}^{{2}}}}-{16}^{{{x}^{{2}}-{\frac{{x}}{{2}}}}}={0}?\)

Dumaen80p3

Dumaen80p3

Answered question

2022-03-27

How can i solve this 42+x+154x216x2x2=0?

Answer & Explanation

Tristatex9tw

Tristatex9tw

Beginner2022-03-28Added 18 answers

Hint:
0=16(4x)+15(4x2)42x2x
16(4x)2+15(4x2)(4x)(4x2)2=0
Divide both sides by (4x2)20 to find
16(4xx2)2+15(4xx2)1=0
Observer that 16a2+15a1=(16a1)(a+1)
Now for xx2,4xx2>0

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