Question

(х – 4)(9х – 3) = 0​

Answer 1

Ответ:

(х – 4)(9х – 3) = 0​

9x²-3x-36x+12=0

9x²-39x+12=0

D = -39²-4·9·12 = 1521-432 = 1089 = 33²

$x_{1} = \frac{39+\sqrt{33}^2 }{2*9} = \frac{39+33}{18} = \frac{72}{18} = 4$

$x_{2} = \frac{39-\sqrt{33}^2 }{2*9} = \frac{39-33}{18} = \frac{6}{18} = \frac{3}{9} = \frac{1}{3} .$

Answer 2

To solve the equation (х – 4)(9х – 3) = 0, you can use the zero-product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero. In this case, you have two factors:

1. (x - 4)
2. (9x - 3)

So, you can set each factor equal to zero and solve for x:

1. x - 4 = 0 Add 4 to both sides to isolate x: x = 4

2. 9x - 3 = 0 Add 3 to both sides to isolate x: 9x = 3

   Now, divide both sides by 9 to solve for x: x = 3/9

Simplify 3/9 by dividing both the numerator and denominator by their greatest common divisor, which is 3: x = 1/3

So, the solutions to the equation (х – 4)(9х – 3) = 0 are: x = 4 and x = 1/3.