Soru
sqrt(50)+sqrt(12)-4 sqrt(18)+4 sqrt(23)=?
Çözüm
4.1
(247 Oylar)
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Usta · 5 yıl öğretmeni
Uzman doğrulaması
Cevap
To solve the equation
, we first simplify the square roots:
Substituting these simplified forms into the equation, we get:
Next, we group the terms with similar radicals:
Factor out the common radicals:
For the equation to be zero, each term must be zero. Therefore, we set each part equal to zero:1. \(\sqrt{2}(5 - 3c) = 0\)Since
, we have:
2.
This term is already zero, so it does not provide any new information.3.
Since
, we have:
However,
does not satisfy the first equation. Therefore, the only solution is:
Thus, the value of
that satisfies the equation is: