Question

- 6 x квадрате + 6 x + 36 = 0​

Answer 1

-6x^2+6x+36=0 разделяем обе части уровнения на -6
x^2-x-6=0
Дискриминант: b^2-4ac= (-1)^2-4*1*(-6)=1+24=25
x1= -b+ корень с дискриминанта/2а= 1+5/2=3
X2= -b минус корень с дискриминанта/2а= 1-5/2= -2

х1=3;
х2=-2;

Answer 2

To solve the quadratic equation -6x^2 + 6x + 36 = 0, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the solutions for x can be found using the formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For the given equation -6x^2 + 6x + 36 = 0, we have: a = -6 b = 6 c = 36

Plugging these values into the quadratic formula, we get:

x = (-6 ± √(6^2 - 4*(-6)36)) / (2(-6)) x = (-6 ± √(36 + 864)) / (-12) x = (-6 ± √900) / (-12) x = (-6 ± 30) / (-12)

Now we have two possible solutions:

1. x = (-6 + 30) / (-12) = 24 / (-12) = -2
2. x = (-6 - 30) / (-12) = -36 / (-12) = 3

Therefore, the solutions to the equation -6x^2 + 6x + 36 = 0 are x = -2 and x = 3.