Question

sa se rezolve ecuatia :
$(5 \sqrt{2} - 7) {}^{2x + 1} = (5 \sqrt{2} + 7) {}^{2}$
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Answer 1

Răspuns:

(5√2-7)²ˣ⁺¹=(5√2+7)²

Ogbserin (5√2-7)*(5√2-7)=(5√2)²-7²=50=49=1

deci 5√2+7=1/(5√2-7)

Ecuatia devine

(5√2-7)²ˣ⁺⁺¹=1/(5$\sqrt{2}-7$)²=>

(5√2-7)²ˣ⁺¹*(5√2-7)²=1

(5√2-7)²ˣ+¹⁺²=1=>

2x+1+2=0

2x-3-0

2x=3

x=3/2

Explicație pas cu pas: