to-infinitive
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\(\sqrt{2x+10}-\left|\sqrt{3x-2}\right|=0x\)
\(\Leftrightarrow\sqrt{2x+10}-\left|\sqrt{3x-2}\right|=0\)(1)
Mà \(\sqrt{3x-2}\ge0\)nên \(\left|\sqrt{3x-2}\right|=\sqrt{3x-2}\)
\(\Rightarrow\left(1\right)\Leftrightarrow\sqrt{2x+10}-\sqrt{3x-2}=0\)
\(\Leftrightarrow\sqrt{2x+10}=\sqrt{3x-2}\)
\(\Leftrightarrow2x+10=3x-2\)
\(\Leftrightarrow2x-3x=-2-10\)
\(\Leftrightarrow-x=-12\)
\(\Leftrightarrow x=12\)
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1) ta co ket qua nhu sau:
sinAcosA+cosAcosB = sinAsinB+sinAcosA
<=> cosAcosB-sinAsinB=0
<=>cos(A+B)=0
<=> -cosC=0 (vi A+B+C=180)
hay cosC=0 => C=90
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Có \(cosx=0\)
\(\Rightarrow x=\frac{\pi}{2}+k\)
Và \(-\pi\le x\le2\pi\)
\(\Leftrightarrow-\pi\le\frac{\pi}{2}+k\le2\pi\)
\(\Leftrightarrow-2\pi\le\pi+2k\le4\pi\)
Với \(\pi,k\in Z\)
Làm đại thôi!
to-infinitive:nguyên mẫu
k cho mk nha