Question

1) х²-5х-6=0 2) х²+х-6=0 3) х³-27=04) 21х²-7=0Люди мне до завтра нужен ответь помогитееее ♡.....​

Answer 1

Сорри что с помарками))

Answer 2

1) х²+х-6=0

x²+x-6x-6=0

x(x+1)-6(x+1)=0

(x+1)(x-6)=0

x+1=0

x-6=0

x1=-1,x2=6

2) x²+x-6=0

x²+3x-2x-6=0

x(x+3)-2(x+3)=0

(x+3)(x-2)=0

x+3=0

x-2=0

x=-3

x=2

x1=-3,x2=2

3) x³-27=0

x³=27

x³=3³

x=3

4)21x²-7=0

3x²-1=0

3x²=1

x²=1_

3

Answer 3

1) To solve the equation x² - 5x - 6 = 0, we can use the quadratic formula. The quadratic formula states that for an equation in the form ax² + bx + c = 0, the solutions for x can be found using the formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation, a = 1, b = -5, and c = -6. Plugging these values into the quadratic formula, we get:

x = (-(-5) ± √((-5)² - 4(1)(-6))) / (2(1))

Simplifying further:

x = (5 ± √(25 + 24)) / 2

x = (5 ± √49) / 2

x = (5 ± 7) / 2

So the solutions to the equation x² - 5x - 6 = 0 are:

x₁ = (5 + 7) / 2 = 6

x₂ = (5 - 7) / 2 = -1

2) To solve the equation x² + x - 6 = 0, we can again use the quadratic formula. For this equation, a = 1, b = 1, and c = -6. Plugging these values into the quadratic formula, we get:

x = (-1 ± √(1² - 4(1)(-6))) / (2(1))

Simplifying further:

x = (-1 ± √(1 + 24)) / 2

x = (-1 ± √25) / 2

x = (-1 ± 5) / 2

So the solutions to the equation x² + x - 6 = 0 are:

x₁ = (-1 + 5) / 2 = 2

x₂ = (-1 - 5) / 2 = -3

3) To solve the equation x³ - 27 = 0, we can factor it using the difference of cubes formula. The difference of cubes formula states that for an equation in the form a³ - b³ = 0, the equation can be factored as:

a³ - b³ = (a - b)(a² + ab + b²)

For the given equation, a = x and b = 3. Plugging these values into the difference of cubes formula, we get:

x³ - 3³ = (x - 3)(x² + 3x + 9)

Setting each factor equal to zero, we have:

x - 3 = 0 or x² + 3x + 9 = 0

Solving the first equation, we find:

x = 3

For the second equation, we can use the quadratic formula. For this equation, a = 1, b = 3, and c = 9. Plugging these values into the quadratic formula, we get:

x = (-3 ± √(3² - 4(1)(9))) / (2(1))

Simplifying further:

x = (-3 ± √(9 - 36)) / 2

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