1)-7x²-3x=0, -x(7x+3)=0, x1=0, x2=-3/7
2)-4x²-4x=0,-4x(x+1)=0, x1=0, x2=-1
3)4x²-5x=0,x(4x-5)=0, x1=0,x2=5/4
4)-5x²-9x=0,-x(5x+9)=0, x1=0, x2=-9/5
5)2x²+3x=0,x(2x+3)=0, x1=0, x2=-3/2
6)1/5x²-5=0,x²-25=0,(x+5)(x-5)=0, x1=-5,x2=5
<span>(x+2)(4x-5)=-3
4x</span><span>²-5x+8x-10+3=0
</span>4x²+3x-7=0
D=3²-4*(-7)*4=9+112=121
x(1) = -3+<span>√121/2*4 = -3+11/8 = 8/8 = 1</span>
x(2) = -3-√121/2*4 = -3-11/8 = - 14/8 = -7/4
Ответ: - 7/4; 1.
<span>
3/4x</span>²-2/5x=4/5x²+3/4 x<span>≠0
</span>3/4x²-2/5x-4/5x²-3/4=0
(15-8x-16-15x²)/20x²=0
(-1-8x-15x²)/20x²=0
-1-8x-15x²=0 |*(-1)
1+8x+15x²=0
D=8²-4*15=64-60=4
x(1) = -8+√4/15*2 = -8+2/30 = -6/30 = -1/5
x(2) = -8-√4/15*2 = -8-2/30 = -10/30 = -1/3
Ответ: - 1/5; -1/3.
Решение
log(0,08 - x) = log(10x - 0,2) - log 5
log(0/08 - x) = log(10x - 0/2) / ( 5)
0,08 - x = 2x -( 1 / 25)
3x = (25*0,08 + 1) / 25
3x = (2+ 1) / 25
3x = 3/25
x = 1/25
4;6;8...-an
a1=4 , a2=6 , d=a2-a1=6-4=2
an=a1+(n-1)*d
a11=4+(11-1)*2
a11=4+10*2
a11=4+20=24