Question

Уравнения. x²-5x+6=0 x²-7x+10=0 y²+8y+16=0 y²-10y+25=0

Answer 1

X^2 - 5X + 6 = 0 
D = 25 - 24 = 1 ; √ D = 1 
X1 = ( 5 + 1 ) : 2 = 3 
X2 = ( 5 - 1 ) : 2 = 2 
ответ 3 и 2 

X^2 - 7X + 10 = 0 
D = 49 - 40 = 9 ; √ D = 3 
X1 = ( 7 + 3 ) : 2 = 5 
X2 = ( 7 - 3 ) : 2 = 2 
ответ 5 и 2 

Y^2 + 8Y + 16 = 0
D = 64 - 64 = 0 
Y = ( - 8 ) : 2 = ( - 4 )

Y^2 - 10Y + 25 = 0 
D = 100 - 100 = 0 
Y = 10 : 2 = 5 

Answer 2

$1) x^{2} -5x+6=0 \\ D=25-24=1 \\ \sqrt{D} =1 \\ x_{1} = \frac{5+1}{2} = \frac{6}{2} =3 \\ x_{2} = \frac{5-1}{2} = \frac{4}{2} =2 \\ \\ 2) x^{2} -7x+10=0 \\ D=49-40=9 \\ \sqrt{D} =3 \\ x_{1} = \frac{7+3}{2} = \frac{10}{2} =5 \\ x_{2} = \frac{7-3}{2} = \frac{4}{2} =2 \\ \\$

$3)y^{2} +8y+16=0 \\ D=64-64=0 \\ y _{0} = \frac{-8}{2} =-4 \\ \\ 4)y^{2} -10y+25=0 \\ D=100-100=0 \\ y_{0} = \frac{10}{2} =5$