The sum of all possible values of x satisfying the equation $2^{4x^{2}}-2^{2x^{2}+x+16}+2^{2x+30}=0$ , is
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Question

The sum of all possible values of x satisfying the equation $$2^{4x^{2}}-2^{2x^{2}+x+16}+2^{2x+30}=0$$, is

Accepted Answer

1 2 \frac{1}{2} 2 1 ​. It is given that 2 4 x 2 − 2 2 x 2 + x + 16 + 2 2 x + 30 = 0 2^{4x^{2}}-2^{2x^{2}+x+16}+2^{2x+30}=0 2 4 x 2 − 2 2 x 2 + x + 16 + 2 2 x + 30 = 0 , which can be written as: => ( 2 2 x 2 ) 2 − 2 2 x 2 ⋅ 2 x + 15 ⋅ 2 1 + ( 2 x + 15 ) 2 = 0 \left(2^{2x^2}\right)^2-2^{2x^2}\cdot2^{x+15}\cdot2^1+\left(2

The sum of all possible values of x satisfying the equation 24x2−22x2+x+16+22x+30=02^{4x^{2}}-2^{2x^{2}+x+16}+2^{2x+30}=024x2−22x2+x+16+22x+30=0, is

The sum of all possible values of x satisfying the equation 24x2−22x2+x+16+22x+30=02^{4x^{2}}-2^{2x^{2}+x+16}+2^{2x+30}=024x2−22x2+x+16+22x+30=0, is

The sum of all possible values of x satisfying the equation $2^{4x^{2}}-2^{2x^{2}+x+16}+2^{2x+30}=0$ , is

The sum of all possible values of x satisfying the equation $2^{4x^{2}}-2^{2x^{2}+x+16}+2^{2x+30}=0$ , is