Question

Решите уравнение (6-4х)(х+9)=0

Answer 1

Ответ:

ответ и решение на фото

Answer 2

Ответ: приравняем нулю каждую скобку, тогда 6-4*х1=0 или х1=1,5. С другой стороны х2+9=0 или х2=-9.

Объяснение:

Answer 3

To solve the equation (6-4x)(x+9) = 0, we set each factor to zero and solve for x. This is because if the product of two factors is zero, at least one of the factors must be zero.

Step 1: Set each factor to zero and solve for x:

1. (6 - 4x) = 0
2. (x + 9) = 0

Step 2: Solve for x in each equation:

1. (6 - 4x) = 0 Subtract 6 from both sides: -4x = -6

Now, divide both sides by -4 to isolate x: x = (-6) / (-4) x = 3/2 or 1.5

2. (x + 9) = 0 Subtract 9 from both sides: x = -9

Step 3: Check the solutions:

Plug in the values of x into the original equation to verify if they satisfy it:

For x = 3/2: (6 - 4 * (3/2)) * (3/2 + 9) (6 - 6) * (3/2 + 9) 0 * (3/2 + 9) 0 * (3/2 + 18/2) 0 * (21/2) 0

For x = -9: (6 - 4 * (-9)) * (-9 + 9) (6 + 36) * 0 42 * 0 0

Both solutions, x = 3/2 and x = -9, make the equation (6-4x)(x+9) equal to zero, so both are valid solutions.