РЕШЕНИЕ:

2x^2​− 11x+5 =0

D = ( – 11)² − 4∙2∙ 5= 121 – 40 = 81 = 9sup]2[/sup]

x₁ = ( 11+9)/4 = 20 /4 = 5

x₁ = ( 11−9)/4 = 2/4= 0.5

2x^2​− 11x+ 5 = 2(x – 5)(x− 0.5)

2x^2​− 11x+ 5=2(x − 5)(x − a)

a = 0.5

Ответ: 0.5

РЕШЕНИЕ:

x²​+13x+42 =0

D = (13)² − 4∙1∙42 = 169 – 168 = 1 = 1²

x₁ = ( – 13+1)/2 = –12 /2 = – 6

x₁ = ( – 13−1)/2 = – 14/2 = – 7

x²​+13x+42 = (x + 6)(x−( – 7))

x²​+13x+42=(x+6)(x−a)

a = – 7

Ответ: – 7

РЕШЕНИЕ:

x²​+3x−28 =0

D = (3)² − 4∙1∙( – 28) = 9 + 112 = 121 = 11sup]2[/sup]

x₁ = ( – 3+11)/2 = 8 /2 = 4

x₁ = ( – 3−11)/2 = – 14/2 = – 7

x²​+3x−28 = (x + 7)(x−4)

x²​+3x−28=(x+7)(x−a)

a = 4

Ответ: 4

РЕШЕНИЕ:

x^2​+11x+24 =0

D = (11)² − 4∙1∙24 = 121 – 96 = 25 = 5²

x₁ = ( – 11+5)/2 = –6 /2 = – 3

x₁ = ( – 11−5)/2 = – 16/2 = – 8

x^2​+11x+24 = (x + 8)(x−( – 3))

x^2​+11x+24=(x+8)(x−a)

a = – 3

Ответ: – 3

РЕШЕНИЕ:

x²​+8x+15 =0

D = (8)² − 4∙1∙15 = 64 – 60 = 4 = 2²

x₁ = ( – 8+2)/2 = –6 /2 = – 3

x₁ = ( – 8−2)/2 = – 10/2 = – 5

x²​+8x+15 = (x + 5)(x−( – 3))

x²​+8x+15=(x+5)(x−a)

a = – 3

Ответ: – 3

РЕШЕНИЕ:

x²​−13x+36 =0

D = ( – 13)² − 4∙1∙36= 169 – 144 = 25 = 5sup]2[/sup]

x₁ = ( 13+5)/2 = 18 /2 = 9

x₁ = ( 13−5)/2 = 8/2 = 4

x²​−13x+36 = (x – 4)(x−9)

x²​−13x+36=(x−4)(x−a)

a = 9

Ответ: 9