Question

А) ( 2х - 3 ) ( 5х + 1 ) = 2х +0,4 б) ( 3х - 1) ( х+3 ) = х( 1+ 6х) в) ( х -1 ) ( х + 1 ) = 2 ( 5х - 10,5 ) Помогите пожалуйста

Answer 1

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Answer 2

Solving the Equations

Let's solve the given system of equations:

a) (2x - 3) + (5x + 1) = 2x + 0.4

To solve this equation, we can start by combining like terms and then solving for x.

First, combine like terms: 2x - 3 + 5x + 1 = 2x + 0.4 7x - 2 = 2x + 0.4

Now, solve for x: 7x - 2 - 2x = 0.4 5x - 2 = 0.4 5x = 2.4 x = 2.4 / 5 x = 0.48

b) (3x - 1) + (x + 3) = x(1 + 6x)

To solve this equation, we can start by combining like terms and then solving for x.

First, combine like terms: 3x - 1 + x + 3 = x(1 + 6x) 4x + 2 = x + 6x^2

Now, solve for x: 0 = 6x^2 - 3x - 2 This is a quadratic equation, and we can solve for x using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a)

c) (x - 1) + (x + 1) = 2(5x - 10.5)

To solve this equation, we can start by combining like terms and then solving for x.

First, combine like terms: x - 1 + x + 1 = 2(5x - 10.5) 2x = 10x - 21 -8x = -21 x = -21 / -8 x = 2.625

Conclusion

The solutions for the given system of equations are: a) x = 0.48 b) x = (-b ± √(b² - 4ac)) / (2a) c) x = 2.625