Exercise ID254

Algebra → Irrational Equations → Négyzetgyököt tartalmazó egyenletek
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Solve the following equation.

9- 5x=3-x+63-x

9- 5x=3-x+63-x 9-5x=3-x2+63-x ; 9-5x095xx95 9-5x=3-x+63-x 9-5x=9-x3-x 9-5x2=9-x23-x2 9-5x=9-x23-x 9-5x3-x=9-x2 27-15x-9x+5x2=81-18x+x2 5x2-x2-15x-9x+18x+27-81=0 4x2-6x-54=0 4x2-6x-54=0·/12 2x2-3x-27=0 a=2 ; b=-3 ; c=-27 x1,2=--3±-32-4·2·-272·2=3±9+2164=3±2254=3±154 x1=3+154=184 x2=3-154=-124 x1=92=3,5>1,8 x2=-3<1,8 x=-3
x=-3
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