X6 3
(x²+3y)
4x2-(2x-1)
(0,2x2+5y)
(2a+b)2-(a-2b)
(3x2-2,5y)
(a-2)(a+2)(a +4
(7x29+3xy?)
(a2-5)(22+5)
10 (9x-y_) (9x+y)

Question

Алгебра: X6 3 (x²+3y) 4x2-(2x-1) (0,2x2+5y) (2a+b)2-(a-2b) (3x2-2,5y) (a-2)(a+2)(a +4 (7x29+3xy?) (a2-5)(22+5) 10 (9x-y_) (9x+y)

Гулбахар · Accepted Answer

1) x^2+px+q=0; х1=-5; х2=7
-5*7=q; -5+7=-p q=-35; p=-2
x^2 -2x-35=0 искомое уравнение
2)x2-x1=6
x^2-4x+q=0
{x1+x2=4;
{x2-x1=6 2*x2=10; x2=5; x1=4-5=-1
q=-1*5=-5
3)9x^4-37x^2+4=0
t=x^2; 9t^2-37t+4=0
D=37^2-4*9*4=37^2 -(4*3)2=(37-12)(37+12)=25*49=(5*7)^2
t1=37-35)/18=1/9; t2=(37+35)/18=4
x^2=1/9 ili x^2=4
x=1/3 ili x=-1/3 x=-2 ili x=2
ответ -2; -1/3; 1/3; 2.
4)(x^2-8)^2 +3(x^2-8)=4
t=x^2-8; t^2+3t-4=0
t1=1; t2=-4 (по теореме Виета!)
x^2-8=1 ili x^2-8=-4
x^2=9 x^2=4
x=+-3 x=+-2
ответ. -3; -2; 2; 3
А 9x^4-13x^2+4=0
t=x^2; 9t^2-13t+4=0
D=169-144=25=5^2; t1=(13-5)/18=8/18=4/9 ;t2=1
x^2=4/9 ili x^2=1
x=+-2/3 x=+-1

X6 3(x²+3y)4x2-(2x-1)(0,2x2+5y)(2a+b)2-(a-2b)(3x2-2,5y)(a-2)(a+2)(a +4(7x29+3xy?)(a2-5)(22+5)10 (9x-y_) (9x+y)

MOGZ ответил

X6 3
(x²+3y)
4x2-(2x-1)
(0,2x2+5y)
(2a+b)2-(a-2b)
(3x2-2,5y)
(a-2)(a+2)(a +4
(7x29+3xy?)
(a2-5)(22+5)
10 (9x-y_) (9x+y)