Question

A) (5x - 1)(2x + 1) - 10x2 = 0,6; b) 18x2 - (9x + 2)(2x - 1) = 1. ​

Answer 1

Ответ:

Удачи!

Ответ закреплён!

Answer 2

Let's solve each equation step by step:

a) (5x - 1)(2x + 1) - 10x^2 = 0.6

First, we'll expand the brackets: (5x)(2x) + (5x)(1) + (-1)(2x) + (-1)(1) - 10x^2 = 0.6

Simplifying the equation further: 10x^2 + 5x - 2x - 1 - 10x^2 = 0.6

The 10x^2 terms cancel out, leaving us with: 5x - 2x - 1 = 0.6

Combining like terms: 3x - 1 = 0.6

Now, let's isolate x by moving -1 to the other side: 3x = 0.6 + 1 3x = 1.6

Divide both sides by 3 to solve for x: x = 1.6 / 3 x ≈ 0.5333

Therefore, the solution for equation a) is approximately x = 0.5333.

b) 18x^2 - (9x + 2)(2x - 1) = 1

First, we'll expand the brackets: 18x^2 - (9x)(2x) - (9x)(-1) - (2)(2x) + (2)(1) = 1

Simplifying the equation further: 18x^2 - 18x^2 + 9x + 4x + 2 = 1

Combine like terms: 13x + 2 = 1

Isolate x by moving 2 to the other side: 13x = 1 - 2 13x = -1

Divide both sides by 13 to solve for x: x = -1 / 13

Therefore, the solution for equation b) is x = -1/13.