Question

Найдите корень уравнения: 3)15 х (с-8х) =75 при с =53 4) (6х-d)х 8=104 при d =29

Answer 1

3)795-120x=75
120x=720
X=6
4)48x-232=104
48x=336
X=7

Answer 2

I will answer in detail. To find the root of the equation, we need to solve it for x. Here are the steps:

3) 15 x + (c - 8x) = 75 when c = 53

- Substitute c with 53: 15 x + (53 - 8x) = 75 - Simplify the parentheses: 15 x + 53 - 8x = 75 - Combine like terms: 7 x + 53 = 75 - Subtract 53 from both sides: 7 x = 22 - Divide both sides by 7: x = 22/7

The root of the equation is x = 22/7.

4) (6x - d)x + 8 = 104 when d = 29

- Substitute d with 29: (6x - 29)x + 8 = 104 - Expand the parentheses: 6x^2 - 29x + 8 = 104 - Subtract 104 from both sides: 6x^2 - 29x - 96 = 0 - Factor the quadratic equation: (2x - 16)(3x + 6) = 0 - Use the zero product property: 2x - 16 = 0 or 3x + 6 = 0 - Solve for x: x = 16/2 or x = -6/3 - Simplify: x = 8 or x = -2

The roots of the equation are x = 8 or x = -2.