15 − 2x − x2 = 0
-x2 - 2x + 15 = 0 * (- 1)
x2 + 2x - 15= 0
D = 2^2 - 4 * 1* (- 15)=4 + 60 = 64
64=8
x1 = - 2 - 8 / 2= - 10 / 2= -5
x2 = - 2 + 8 / 2 = 6 / 2 = 3
<u><em>2m^4</em></u><em>-3m^5+m^6</em>+1<u>-m^4 </u><em>+4m^</em>5<em>-m^6</em>=m^4+m^5+1=<u><em>m^4(m+1)+1</em></u>
1) <span>5x^2+2x-3
D=4+60=64
x=(-2+8)/10=6/10=3/5
x=(-2-8)/10=-1
5*(x-3/5)(x+1)=(5x-3)(x+1)
2) </span><span>3x^2+4x-7
</span> D=16+ 84=100
х=(-4+10)/6=1
х=(-4-10)/6=-14/6=-7/3
<span>3*(х+ 7/3)(х-1)=(3х+7)(х-1)
</span>
3) <span>-3x^2+5x-8
</span> D=25+96=121
x=(-5+11)/(-6)= -1
x=(-5-11)/(-6)= -16/(-6) =8/3
-3*(x- 8/3)(x+1)=(-3x+8)(x+1)
x³-2x²+x-2=(x³-2x²)+(x-2)=x²*(x-2)+(x-2)=(x-2)*(x²+1)