РЕШЕНИЕ:

5x²​− 38x+48  =0

D = ( – 38)² − 4∙5∙ 48 = 1444 – 960 = 484 = 22²

x₁ = ( 38+22)/10 = 60 /10 = 6

x₁ = ( 38−22)/10 = 16/10= 1.6

5x²​− 38x+48 = 5(x − 6)(x − 1.6)

5x²​− 38x+48 = 5(x − 6)(x − a)

a = 1.6

Ответ: 1.6

РЕШЕНИЕ:

5x²​ + 43x+24  =0

D = ( 43)² − 4∙5∙ 24 = 1849 – 480 = 1369 = 37²

x₁ = ( – 43+37)/10 = – 6 /10 = – 0.6

x₁ = ( – 43 −37)/10 = – 80/10= – 8

5x²​+43x+24 = 5(x + 8)(x − ( – 0.6))

5x²​+43x+24 = 5(x + 8)(x − a)

a = – 0.6

Ответ: – 0.6

РЕШЕНИЕ:

4x²​− 25x+36  =0

D = ( – 25)² − 4∙4∙36 = 625 – 576 = 49 = 7²

x₁ = (25+7)/8 = 32/8 = 4

x₁ = (25−7)/8 = 18/8 = 2.25

4x²​− 25x+36 = 4(x − 4)(x − 2.25)

4x²​− 25x+36 = 4(x − 4)(x − a)

a = 2.25

Ответ: 2.25

РЕШЕНИЕ:

2x^2​ + 3x – 14 =0

D = ( 3)² − 4∙2∙ ( – 14) = 9 + 112 = 121 = 11sup]2[/sup]

x₁ = ( –3+11)/4 = 8 /4 = 2

x₁ = ( –3−11)/4 = – 14/4= – 3.5

2x^2​ +  3x – 14 = 2(x – 2)(x− ( – 3.5))

2x^2​ +  3x – 14=2(x  – 2)(x − a)

a = ( – 3.5)

Ответ: – 3.5

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+3)(x−( – 5))

x²​+8x+15=(x+3)(x−a)

a = – 5

Ответ: – 5

РЕШЕНИЕ:

x²​+18x+81 =0

D = (18)² − 4∙1∙81 = 324 – 324 = 0 = 0²

x₁ = (−18+0)/2 = – 18/2 = – 9

x²​+18x+81 = (x+9)(x−( – 9))

x²​+18x+81=(x+9)(x−a)

a = – 9

Ответ: – 9