1) √x-1+√2-x=3
x-1+2√(x-1)(2-x)+2-x=9
-1+2√2x-x²-2+x+2=9
1+2√3x-x²-2=9
2√3x-x²-2=8
√3x-x²-2=4
3x-x²-2=16
3x-x²-2-16=0
-x²+3x-18=0
x²-3x+18=0
x=-(-3)±√(-3)²-4*1*18/2*1
x=3±√9-72/2
x=3±√-63/2
x∉R
2) √2x+5+⁴√x+2=0
√2x+5=-⁴√x+2
(2x+5)²=x+2
4x²+20x+25=x+2
4x²+20x+25-x-2=0
4x²+19x+23=0
x=-19±√361-368/8
x=-19±√-7/8
x∉R
<span>a)5х²=25х</span>
<span>5х²-25x=0</span>
5x(x-5)=0
5x=0 или x-5=0
x=0 x=5
<span>б)100х²-16=0</span>
<span>100х²=16</span>
<span>х²=0,16</span>
<span>x=0,4</span>
<span>x=-0,4</span>
<span><span>в)3х²-11х-4=0</span></span>
<span><span>D=121+48=169</span></span>
<span>x1=4</span>
<span>x2=-1/3(дробью)</span>
<span>2.<span>б)3х²-6х деленное на 2(тип дробь)=4-2х</span></span>
<span><span>3х²-6x=4-2x</span></span>
<span><span>3х²-4x+4=0</span></span>
<span><span>D=16+46=64</span></span>
<span><span>x1=2</span></span>
<span><span>x2=-2/3</span></span>
48х²/6х+4 - 8 = 48х²/6х+4 - 8(6х+4)/6х+4 = 48х²-48х-32/6х+4 = 12(4х²-4х-3)/2(х+2) = 6(4х²-4х-3)/х+2=24х²-24х-18/х+2