Question

(14у + 21) (1,8 – 0,3у) = 0

Answer 1

Ответ:

y=-1,5;y=6

Пошаговое объяснение:

(14y+21)(1,8-0,3y)=0

14y+21=0 или 1,8-0,3y=0

14y=-21           1,8=0,3y

y=-1,5              y=6

Ответ: y=-1,5;y=6

Answer 2

To solve the given equation, you need to find the value of "у" that makes the equation true. To do this, you'll perform the multiplication and then set the result equal to 0. Let's go step by step:

Step 1: Multiply the two binomials.

(14у + 21) (1.8 – 0.3у) = 0

To do the multiplication, use the distributive property:

(14у + 21) * 1.8 - (14у + 21) * 0.3у = 0

Step 2: Simplify the expression.

1.8 * 14у + 1.8 * 21 - 0.3у * 14у - 0.3у * 21 = 0

25.2у + 37.8 - 4.2у² - 6.3у = 0

Step 3: Move all the terms to one side to set the equation to zero.

-4.2у² + 25.2у - 6.3у + 37.8 = 0

Step 4: Combine like terms.

-4.2у² + 18.9у + 37.8 = 0

Step 5: Now, this is a quadratic equation in terms of "у". You can solve it by factoring or using the quadratic formula. In this case, let's use the quadratic formula:

The quadratic formula is given by:

y = (-b ± √(b² - 4ac)) / 2a

where a = -4.2, b = 18.9, and c = 37.8.

Step 6: Plug the values into the quadratic formula:

у = (-(18.9) ± √((18.9)² - 4 * (-4.2) * 37.8)) / (2 * (-4.2))

Step 7: Calculate the discriminant (the part inside the square root):

Discriminant = (18.9)² - 4 * (-4.2) * 37.8 Discriminant = 356.4096

Step 8: Continue solving for "у":

у = (-18.9 ± √356.4096) / (-8.4)

Step 9: Now calculate the two possible values for "у":

у = (-18.9 + √356.4096) / (-8.4) ≈ 2.85

у = (-18.9 - √356.4096) / (-8.4) ≈ -1.64

So, the solutions to the equation are у ≈ 2.85 and у ≈ -1.64.