РЕШЕНИЕ:

5x²​ + 26x+5  =0

D = ( 26)² − 4∙5∙ 5 = 676 – 100 = 576 = 24²

x₁ = ( – 26+24)/10 = – 2/10 = – 0.2

x₁ = ( – 26 −24)/10 = – 50/10= – 5

5x²​+26x+5 = 5(x + 5)(x − ( – 0.2))

5x²​+26x+5 = 5(x + 5)(x − a)

a = – 0.2

Ответ: –0.2

РЕШЕНИЕ:

x²​−6x+5 =0

D = ( –6)² − 4∙1∙5 = 36 – 20 = 16 = 4²

x₁ = ( 6+4)/2 = 10/2 = 5

x₁ = ( 6−4)/2 = 2/2 = 1

x²​−6x+5 = (x – 5)(x−1)

x²​−6x+5=(x−5)(x−a)

a = 1

Ответ: 1

РЕШЕНИЕ:

5x²​ + 22x + 8  =0

D = ( 22)² − 4∙5∙ 8 = 484 – 160 = 324 = 18²

x₁ = ( – 22+18)/10 = – 4/10 = – 0.4

x₁ = ( – 22 −18)/10 = – 40/10= – 4

5x²​+22x + 8 = 5(x + 4)(x − ( – 0.2))

5x²​+22x + 8 = 5(x + 4)(x − a)

a = – 0.4

Ответ: – 0.4

РЕШЕНИЕ:

4x²​−27x−7 =0

D = ( – 27)² − 4∙4∙(−7) = 729 + 112 = 841 = 29²

x₁ = (27+29)/8 = 56/8 = 7

x₁ = (27−29)/8 = −2/8 = −0.25

4x²​−27x−7=4(x − 7)(x−( – 0.25))

4x²​−27x−7=4(x − 7)(x−a)

a = – 0.25

Ответ: – 0.25

РЕШЕНИЕ:

5x²​ + 21x – 20  =0

D = ( 21)² − 4∙5∙ ( – 20) = 441 + 400 = 841 = 29²

x₁ = ( – 21+29)/10 = 8/10 = 0.8

x₁ = ( – 21 −29)/10 = – 50/10= – 5

5x²​+21x – 20 = 5(x + 5)(x − ( – 0.2))

5x²​+21x – 20 = 5(x + 5)(x − a)

a = 0.8

Ответ: 0.8

РЕШЕНИЕ:

x²​−10x+25 =0

D = ( –10)² − 4∙1∙25 = 100 – 100 = 0 = 0²

x₁ = ( 10+0)/2 = 10/2 = 5

x²​−10x+25 = (x – 5)(x−5)

x²​−10x+25=(x−5)(x−a)

a = 5

Ответ: 5