Exercise ID208

Algebra → Exponential equations and inequalities → Exponential equations
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Solve the following equation.

5x-53-x=20

5x-53-x=20 5x-535x=20 5x=t t-53t=20 t-125t=20·t t2-125=20t t2-20t-125=0 t2-20t-125=0 a=1 ; b=-20 ; c=-125 t1,2=20±-202-4·1-1252=20±400+5002=20±9002=20±302 t1=25 ; t2=-5  t1=25 5x1=25 5x1=52 x1=2 t2=-5 5x2>0 5x2-5  x=2
x=2

anam=an-m

x1,2=-b±b2-4ac2a ; ax2+bx+c=0

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