Question

(5x+1)(2x-3)=(10x-9) (x+2)

Answer 1

(5x + 1)(2x - 3) = (10x - 9)(x + 2)

10x² - 13x - 3 = 10x² + 11x - 18

24x = 15

x = 5/8 = 0,625          

Answer 2

Х=5/8 или 5:8 (это одно и то же)

Answer 3

To check if the equation (5x+1)(2x-3) = (10x-9)(x+2) is true, we need to verify if both sides of the equation yield the same value for all possible values of x. Let's expand both sides of the equation and see if they are equal:

Left-hand side (LHS): (5x + 1)(2x - 3)

Using the distributive property, we get: LHS = 5x * 2x + 5x * (-3) + 1 * 2x + 1 * (-3) LHS = 10x^2 - 15x + 2x - 3

Combine like terms: LHS = 10x^2 - 13x - 3

Right-hand side (RHS): (10x - 9)(x + 2)

Using the distributive property, we get: RHS = 10x * x + 10x * 2 - 9 * x - 9 * 2 RHS = 10x^2 + 20x - 9x - 18

Combine like terms: RHS = 10x^2 + 11x - 18

Now, let's compare the two sides:

LHS = 10x^2 - 13x - 3 RHS = 10x^2 + 11x - 18

As we can see, the left-hand side (LHS) is different from the right-hand side (RHS). Therefore, the equation (5x+1)(2x-3) = (10x-9)(x+2) is NOT true for all values of x.