\(3\sqrt{2x}-5\sqrt{8x}+7\sqrt{18x}=28\)28
<=> \(3\sqrt{2x}-5.2\sqrt{2x}+7.3\sqrt{2x}=28\)
<=> \(14\sqrt{2x}=28\)
<=>
mk ấn nhầm giờ mk làm tiếp nha
<=> \(\sqrt{2x}=2\)
<=> \(2x=4\)
<=>
Ta có: \(3\sqrt{2x}-5\sqrt{8x}+7\sqrt{18x}=28\) \(\left(ĐK:x\ge0\right)\)
\(\Leftrightarrow3\sqrt{2x}-5\sqrt{4}.\sqrt{2x}+7.\sqrt{9}\sqrt{2x}=28\)
\(\Leftrightarrow3\sqrt{2x}-10.\sqrt{2x}+21\sqrt{2x}=28\)
\(\Leftrightarrow4\sqrt{2x}=28\)
\(\Leftrightarrow\sqrt{2x}=7\)
\(\Leftrightarrow2x=49\)
\(\Leftrightarrow x=\frac{49}{2}\)\(\left(TM\right)\)
Vậy \(S=\left\{\frac{49}{2}\right\}\)
\(3\sqrt{2x}-5\sqrt{8x}+7\sqrt{18x}=28\)
ĐKXĐ : x ≥ 0
⇔ \(3\sqrt{2x}-5\sqrt{2^2\cdot2x}+7\sqrt{3^2\cdot2x}=28\)
⇔ \(3\sqrt{2x}-5\cdot\left|2\right|\sqrt{2x}+7\cdot\left|3\right|\sqrt{2x}=28\)
⇔ \(14\sqrt{2x}=28\)
⇔ \(\sqrt{2x}=2\)
⇔ \(2x=4\)
⇔ \(x=2\)( tm )
Vậy x = 2