Question

5(х - 2 ) = ( 3х + 2 ) ( х - 2 ) пишите это уравнение квадратное сделать

Answer 1

5x-10=3x2 - 6x +2x - 4
5x-3x2+4x=-4+10
3x2+9x-6=0
D= 81-72=9
X1= - 9 + 3/2= - 3
X2= - 9-3/2= - 6

Answer 2

To determine if the given equation is quadratic, we need to simplify it and see if it takes the form of a quadratic equation, which is typically written as ax^2 + bx + c = 0. Let's simplify the given equation:

5(x - 2) = (3x + 2)(x - 2)

First, let's expand the right side:

5(x - 2) = 3x(x - 2) + 2(x - 2)

Now, apply the distributive property on both terms:

5x - 10 = 3x^2 - 6x + 2x - 4

Combine like terms:

5x - 10 = 3x^2 - 4x - 4

Now, let's move all terms to the left side to get a quadratic equation in standard form:

3x^2 - 4x - 4 - 5x + 10 = 0

Combine like terms again:

3x^2 - 9x + 6 = 0

This equation is a quadratic equation, and it is in the form of ax^2 + bx + c = 0, where a = 3, b = -9, and c = 6.