Решите уравнения
1)(5+4х)^2 = (9-21x)(4x+5)
2) 8(х-2)(х2 - 1) = (4х^2 - 2х+1)(2х + 1)
Если можно, распишет
1)(5+4х)^2 = (9-21x)(4x+5)
2) 8(х-2)(х2 - 1) = (4х^2 - 2х+1)(2х + 1)
Если можно, распишет
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Verified answer
1) 25+40х+16х^2=36x+45-84x^2-105x16x^2+84x^2+40x-36x+105x+25-45=0
100x^2+109x-20=0
D=11881+8000=19881
X1=(-109+141)/200=4/25
Х2=(-109-141)/200= -5/4= -1ц 1/4
2) (8х-16)(х^2-1)=8x^3-4x^2+2x+4x^2-2x+1
8x^3-8x-16x^2+16-8x^3+4x-4x^2+2x-2x-1=0
-16x^2-8x+15=0
D=64+960=1024
Х1=(8+32)/-32= -5/4= -1ц1/4
Х2=(8-32)/-32=3/4