tìm x
CÂU A (X+2).(X-2)+4X=4+X^2
CÂU B 2(X+5).(X-5)+5X=8+X^2
CÂU C (X+4)^2 - (X+1).(X-1)=16
CÂU D (2X-1)^2 + (X+3)^2 - 5.(X+7)(X-7)=0
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28 tháng 2 2023
a:x=3/5-7/8=24/40-35/40=-11/40
b: =>1/3:(2x-1)=-1/6
=>2x-1=-2
=>2x=-1
=>x=-1/2
c: =>x-3/4=17/2+7/4=34/4+7/4=41/4
=>x=11
d: =>3x+2=0 hoặc 2/5x+7=0
=>x=-2/3 hoặc x=-7:2/5=-35/2
14 tháng 6 2023
a: =7/8:(2/9-18+1/36)-5/12
=-7/142-5/12=-397/852
b: =3/7(4/9+5/9:6/12)=2/3
c: =5^8(16/31-47/31)+1/3=-5^8+1/3
d: =7/2(3/8+5/8:4/15)=609/64
28 tháng 4 2023
a: =>17x-5x-15-2x-5=0
=>10x-20=0
=>x=2
b: =>\(\dfrac{3x-6-5x-10}{\left(x+2\right)\left(x-2\right)}=\dfrac{11x+23}{\left(x+2\right)\left(x-2\right)}\)
=>11x+23=-2x-16
=>13x=-39
=>x=-3(nhận)
c: =>5x+7>=3x-3
=>2x>=-10
=>x>=-5
d: =>5(3x-1)=-2(x+1)
=>15x-5=-2x-2
=>17x=3
=>x=3/17
e: =>4x^2-1-4x^2-3x-2=0
=>-3x-3=0
=>x=-1
g: =>7x-5-8x+2-7<0
=>-x-10<0
=>x+10>0
=>x>-10
28 tháng 4 2023
a: =>17x-5x-15-2x-5=0
=>10x-20=0
=>x=2
b: =>\(\dfrac{3x-6-5x-10}{\left(x+2\right)\left(x-2\right)}=\dfrac{11x+23}{\left(x+2\right)\left(x-2\right)}\)
=>11x+23=-2x-16
=>13x=-39
=>x=-3(nhận)
c: =>5x+7>=3x-3
=>2x>=-10
=>x>=-5
d: =>5(3x-1)=-2(x+1)
=>15x-5=-2x-2
=>17x=3
=>x=3/17
e: =>4x^2-1-4x^2-3x-2=0
=>-3x-3=0
=>x=-1
g: =>7x-5-8x+2-7<0
=>-x-10<0
=>x+10>0
=>x>-10
\(a,\left(x+2\right)\left(x-2\right)+4x=4+x^2\)
\(\Leftrightarrow x^2-4+4x-4-x^2=0\)
\(\Leftrightarrow4x=16\)
\(\Rightarrow x=4\)
\(b,2\left(x+5\right)\left(x-5\right)+5x=8+x^2\)
\(\Leftrightarrow2x^2-50+5x-8-x^2=0\)
\(\Leftrightarrow x^2-5x-42=0\Rightarrow\left(x^2-5x+\dfrac{25}{4}\right)-\dfrac{193}{4}=0\Rightarrow\left(x-\dfrac{5}{2}\right)^2=\dfrac{193}{4}\Rightarrow\left[{}\begin{matrix}x-\dfrac{5}{2}=\sqrt{\dfrac{193}{4}}\\x-\dfrac{5}{2}=-\sqrt{\dfrac{193}{4}}\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=\sqrt{\dfrac{193}{4}}+\dfrac{5}{2}\\x=-\sqrt{\dfrac{193}{4}}+\dfrac{5}{2}\end{matrix}\right.\)
\(c,\left(x+4\right)^2-\left(x+1\right)\left(x-1\right)=16\)
\(\Leftrightarrow x^2+8x+16-x^2-1-16=0\)
\(\Leftrightarrow8x-1=0\Leftrightarrow8x=1\Rightarrow x=\dfrac{1}{8}\)
\(d,\left(2x-1\right)^2+\left(x+3\right)^2-5\left(x+7\right)\left(x-7\right)=0\)\(\Leftrightarrow4x^2-4x+1+x^2+6x+9-5x^2-245=0\)\(\Leftrightarrow2x=235\Leftrightarrow x=117,5\)