Question

3х²(2х²-3х-5)+7х(3х+5-2х²)+6(2х²-5-3х)=0​

Answer 1

3х²(2х²–3х–5)+7х(3х+5–2х²)+6(2х²–5–3х)=0;

3х²(2х²–3х–5)–7х(2х²–5–3х)+6(2х²–5–3х)=0;

(2х²–3х–5)(3х²–7х+6)=0.

Уравнение имеет смысл, если хотя бы один из данных множителей равен нулю. Значит:

1) 2х²–3х–5=0;

D= (–3)²–4×2×(–5)=9+40=49=7².

x1= (3–7):4= (–4):2= –1.

x2= (3+7):4= 10:4= 5/2= 2,5.

2) 3x²–7x+6=0;

D= (–7)²–4×3×6=49–72= –23.

D<0 => уравнение 3х²–7х+6=0 не имеет решений.

ОТВЕТ: –1 ; 2,5.

Answer 2

Ответ:

2.5 ; -1

Объяснение:

3х²(2х²-3х-5)+7х(3х+5-2х²)+6(2х²-5-3х)=0​

3x²(2x²-3x-5)+7x(-2x²+3x+5)+6(2x²-3x-5)=0

3x²(2x²-3x-5)-7x(2x²-3x-5)+6(2x²-3x-5)=0

(2x²-3x-5)(3x²-7x+6)=0

1)    (3x²-7x+6)=0

                            D=49-72=   -23

                            Так как D<0 , то данное уравнение корней не имеет!

2x²-3x-5=0

  В=9+40=49

√49=7

x=(3±7)/4= 2.5 ; -1              

Answer 3

It looks like you've provided an algebraic expression, and you'd like to solve it for the value(s) of x that satisfy the equation. Let's work through it step by step.

The expression you've given is: 3x²(2x² - 3x - 5) + 7x(3x + 5 - 2x²) + 6(2x² - 5 - 3x) = 0

Let's simplify it by distributing and combining like terms:

1. Distribute 3x² across the terms in the first set of parentheses: 3x² * 2x² - 3x² * 3x - 3x² * 5 = 6x⁴ - 9x³ - 15x²

2. Distribute 7x across the terms in the second set of parentheses: 7x * 3x + 7x * 5 - 7x * 2x² = 21x² + 35x - 14x³

3. Distribute 6 across the terms in the third set of parentheses: 6 * 2x² - 6 * 5 - 6 * 3x = 12x² - 30 - 18x

Now, substitute the simplified expressions back into the original equation: 6x⁴ - 9x³ - 15x² + 21x² + 35x - 14x³ + 12x² - 30 - 18x = 0

Combine like terms: 6x⁴ - 23x³ + 18x² + 17x - 30 = 0

Unfortunately, this equation is a quartic equation (degree 4), and solving quartic equations generally involves more complex methods compared to solving quadratic or cubic equations. The solutions might not have simple closed forms, and often numerical methods are required to approximate the solutions.

If you have specific values for which you want to solve the equation, you can use numerical methods or a computer algebra system to find the approximate solutions. If you provide a specific value of x, I can help you compute the result, or if you're looking for a general solution method, I can provide guidance on numerical methods or other techniques.