Question

СРОЧНО 1). x2−4x+3=0 ; a= ; b= ; с= ; D= . 2).−x2−x+6=0 ; a= ; b= ; с= ; D= . 3). 5x2+3x−8=0 ; a= ; b= ; с= ; D= . 4). 9x2−12x+4=0 ; a= ; b= ; с= ; D= . 5). 2x2+x+2=0 ; a= ; b= ; с= ; D= . 6). −3x2+13x−12=0 ; a= ; b= ; с= ; D= . 7). 3x2−6x+2=0 ; a= ; b= ; с= ; D= . 8). −25x2+8x−1=0 ; a= ; b= ; с= ; D= . 9). x2−4x−5=0 ; a= ; b= ; с= ; D= . 10). −6x2+5x−1=0 ; a= ; b= ; с= ; D= .

Answer 1

1) x^2-4x+3=0

ax^2+bx+c=0

a=1

b=-4

c=3

D=b^2-4ac=(-4)^2-4*1*3=4

2) -x^2-x+6=0

ax^2+bx+c=0

a=-1

b=-1

c=6

D=b^2-4ac=(-1)^2-4*(-1)*6=25

3) 5x^2+3x-8=0

ax^2+bx+c=0

a=5

b=3

c=-8

D=b^2-4ac=3^2-4*5*(-8)=169

4) 9x^2-12x+4=0

ax^2+bx+c=0

a=9

b=-12

c=4

D=b^2-4ac=(-12)^2-4*9*4=0

5) 2x^2+x+2=0

ax^2+bx+c=0

a=2

b=1

c=2

D=b^2-4ac=1^2-4*2*2=-15

6) -3x^2+13x-12=0

ax^2+bx+c=0

a=-3

b=13

c=-12

D=b^2-4ac=13^2-4*(-3)*(-12)=169-144=25

7) 3x^2-6x+2=0

ax^2+bx+c=0

a=3

b=-6

c=2

D=b^2-4ac=(-6)^2-4*2*3=12

8) -25x^2+8x-1=0

ax^2+bx+c=0

a=-25

b=8

c=-1

D=b^2-4ac=8^2-4*(-25)*(-1)=-36

9) x^2-4x-5=0

ax^2+bx+c=0

a=1

b=-4

c=-5

D=b^2-4ac=(-4)^2-4*1*(-5)=36

10) -6x^2+5x-1=0

ax^2+bx+c=0

a=-6

b=5

c=-1

D=b^2-4ac=5^2-4*(-6)*(-1)=1

Answer 2

I see that you have provided quadratic equations, and you're looking for the values of coefficients (a, b, c) and the discriminant (D) for each equation. The general form of a quadratic equation is ax^2 + bx + c = 0. The coefficients are directly extracted from this form.

Let's calculate the coefficients for each equation:

1. x^2 - 4x + 3 = 0 a = 1 b = -4 c = 3 D = b^2 - 4ac = (-4)^2 - 4 * 1 * 3 = 16 - 12 = 4

2. -x^2 - x + 6 = 0 a = -1 b = -1 c = 6 D = b^2 - 4ac = (-1)^2 - 4 * (-1) * 6 = 1 + 24 = 25

3. 5x^2 + 3x - 8 = 0 a = 5 b = 3 c = -8 D = b^2 - 4ac = 3^2 - 4 * 5 * (-8) = 9 + 160 = 169

4. 9x^2 - 12x + 4 = 0 a = 9 b = -12 c = 4 D = b^2 - 4ac = (-12)^2 - 4 * 9 * 4 = 144 - 144 = 0

5. 2x^2 + x + 2 = 0 a = 2 b = 1 c = 2 D = b^2 - 4ac = 1^2 - 4 * 2 * 2 = 1 - 16 = -15

6. -3x^2 + 13x - 12 = 0 a = -3 b = 13 c = -12 D = b^2 - 4ac = 13^2 - 4 * (-3) * (-12) = 169 - 144 = 25

7. 3x^2 - 6x + 2 = 0 a = 3 b = -6 c = 2 D = b^2 - 4ac = (-6)^2 - 4 * 3 * 2 = 36 - 24 = 12

8. -25x^2 + 8x - 1 = 0 a = -25 b = 8 c = -1 D = b^2 - 4ac = 8^2 - 4 * (-25) * (-1) = 64 - 100 = -36

9. x^2 - 4x - 5 = 0 a = 1 b = -4 c = -5 D = b^2 - 4ac = (-4)^2 - 4 * 1 * (-5) = 16 + 20 = 36

10. -6x^2 + 5x - 1 = 0 a = -6 b = 5 c = -1 D = b^2 - 4ac = 5^2 - 4 * (-6) * (-1) = 25 - 24 = 1

Please double-check these calculations, as there could be errors in transcription.