tìm x
x (- 2x\(^2\)+ 5x) = 16
giải chi tiết giùm minh nha
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(\left(\frac{5}{2.7}+\frac{5}{7.12}+\frac{5}{17.22}+\frac{5}{22.27}+\frac{5}{27.32}\right)x=945\)
\(\left(\frac{7-2}{2.7}+\frac{12-7}{7.12}+\frac{17-12}{12.17}+\frac{22-17}{17.22}+\frac{27-22}{22.27}+\frac{32-27}{27.32}\right)x=945\)
\(\left(\frac{1}{2}-\frac{1}{7}+\frac{1}{7}-\frac{1}{12}+...+\frac{1}{27}-\frac{1}{32}\right)x=945\)
\(\left(\frac{1}{2}-\frac{1}{32}\right)x=945\Leftrightarrow\frac{15}{32}x=945\Leftrightarrow x=945:\frac{15}{32}=2016\)
TC: B=2x2 + 3x + 2
=2(x2 + \(\frac{3}{2}\)x+1)
=2\(\left(\left(x^2+2x.\frac{3}{4}+\frac{9}{16}\right)+\frac{7}{16}\right)\)
=2\(\left(x+\frac{3}{4}\right)^2\)+\(\frac{7}{8}\)
Vì 2\(\left(x+\frac{3}{4}\right)^2\)\(\ge\)0 với mọi x\(\)
\(\Rightarrow\)2\(\left(x+\frac{3}{4}\right)^2\) + \(\frac{7}{8}\)\(\ge\)\(\frac{7}{8}\)
Dấu"=" xảy ra \(\Leftrightarrow\) \(\left(x+\frac{3}{4}\right)^2\)=0
\(\Leftrightarrow\)\(x+\frac{3}{4}\)=0
\(\Leftrightarrow\)x=\(\frac{-3}{4}\)
Vậy....
2|5x−3|−2x=14
Xét 5x−3≥0 <=> x≥35
=> 2(5x−3)−2x=14
<=> 10x−6−2x=14
<=> 8x=20
<=> x=208=52 (thoả mãn)
Xét 5x−3<0 => x<35
=> 2(3−5x)−2x=14
<=> 6−10x−2x=14
<=> −12x=8
<=> x=−812=−23 (thoả mãn)
\(a,\Rightarrow2x^2-18x-2x^2=0\\ \Rightarrow-18x=0\Rightarrow x=0\\ b,\Rightarrow2x^2-5x-12+x^2-7x+10=3x^2-17x+20\\ \Rightarrow5x=22\Rightarrow x=\dfrac{22}{5}\)
=> 4x^2 - 12x + 4 = 2x^2 - 2x - 2 - 2x^2 - 2x - 13
=> 4x^2 - 12x + 4 = - 4x - 15
=> 4x^2 - 12x + 4x + 4 + 15 = 0
=> 4x^2 - 8x + 19 = 0
Đề sai
\(-2x^2+5x=16\)
\(-2x^2+5x-16=0\)
\(-\left(2x^2-5x+16\right)=0\)
\(2x^2-5x+16=0\)
\(2\left(x^2-\frac{5}{2}x+8\right)=0\)
\(x^2-\frac{5}{2}x+8=0\)
\(x^2-\frac{5}{2}x+\frac{25}{16}+\frac{103}{16}=0\)
\(\left(x-\frac{5}{4}\right)^2+\frac{103}{16}=0\)
Ta có: \(\left(x-\frac{5}{4}\right)^2\ge0\forall x\)
\(\Rightarrow\left(x-\frac{5}{4}\right)^2+\frac{103}{16}\ge\frac{103}{16}>0\)
Mà: \(\left(x-\frac{5}{4}\right)^2+\frac{103}{16}=0\)
=> Vô lí
Vậy : ko có giá trị thỏa mãn của x
=.= hok tốt!!
\(x.[\left(-2x\right)^2+5x]=16\)
\(\Rightarrow x.[\left(-4x\right)+5x]=16\)
\(\Rightarrow x.x=16\)
\(\Rightarrow2x=16\Rightarrow x=8\)
Vay \(x=8\)