The square of 3x minus 7x plus 2 is less than 0

The square of 3x minus 7x plus 2 is less than 0

Factorization
The square of 3x minus 7x plus 2

Read the following materials to solve the inequality (X-6) (x + 5) > 0. According to the "multiplication rule of rational numbers", that is, if two numbers are multiplied by each other, the same sign will get positive
X-6 ＞ 0, x + 5 ＞ 0 (1) or X-6 ＜ 0, x + 5 ＞ 0 (2), X is greater than 6 from 1, X ＜ - 5, so x ＞ 6, X ＜ - 5, so x ＜ - 5 from 2, so the solution set of inequality is x ＞ 6 or X ＜ - 5, please follow the solution above Lake to solve the inequality: x + 2 / 4x-5 ＞ 0

(x + 2) / (4x-5) > 0
x+2＞0 4x-5＞0 ①
Or x + 25 / 4
So x > 5 / 4
X is obtained from 2

Solve inequality: (X-6) (x + 5) > 0. According to the "multiplication rule of rational numbers", that is, multiplication of two numbers with the same sign to get positive, we can get {X-6 > 0, x + 5 > 0 (1) or {x-6-5), so x > 6

Is this the solution of junior high school?
(x + 2) / (4x-5) > 0 is equivalent to (x + 2) (4x-5) / (4x-5) & # 178; > 0
Because (4x-5) &# 178; > 0 -------- it is both square and denominator
So we can get {x + 2 > 0, 4x-5 > 0 ① or x + 25 / 4, so x > 5 / 4
From 2 to X

How to decompose this factor: x ^ 3 + 3x ^ 2 + 5x + 3
Can you solve it in two ways?

Hello
x^3+3x^2+5x+3
=x^3+3x^2+2x+3x+3
=x(x²+3x+2)+3(x+1)
=x(x+2)(x+1)+3(x+1)
=(x²+2x+3)(x+1)
If you don't understand this question, you can ask. If you are satisfied, please click "select as satisfactory answer"
If you have any other questions, please take this question and send it to me. Please understand
I wish you progress in your study!

Two barrels of oil a and B are 90kg in total. After pouring 1 / 6 of a barrel of oil into B barrel, the weight ratio of a and B barrels of oil is 4:5. How much is a and B

A: 90 × 4 / (4 + 5) / (1 / 6) = 48 kg
B: 90-48 = 42 kg

In the quadratic function y = x square + MX + N, where M-N = 0, then his image must pass through?
A.（1,1） B.（1,-1） C.（-1,1） D.（-1,-1）

C. (- 1,1) substituting x = - 1, y = 1 into y = x square + MX + N, we can get M-N = 0

60% of the boys in a class are equal to 9 / 10 of the girls. There are 30 boys. How many students are there in this class?

30% of boys are 30 × 60% = 18
The number of girls is 18 △ 9 / 10 = 20
So there are 30 + 20 = 50 students in the class

Given a & sup2; + B & sup2; + C & sup2; - AB BC CA = 0, a = 4, find the value of B and C

a²+b²+c²-ab-bc-ca
=1/2[(a-b)^2+(b-c)^2+(c-a)^2]=0
(a-b)^2+(b-c)^2+(c-a)^2=0
a-b=0
b-c=0
c-a=0
a=b=c=4

There are 42 more girls than boys in the fifth grade of a school, and 1 / 13 of girls is equal to 1 / 11 of boys

Suppose female X, male 1 / 13 △ 1 / 11x = 11 / 13X
x-11/13x=42
2/13x=42
x=42x13/2
x=273
Male 273x11 / 13 = 231
If you don't understand this question, you can ask,

In the equal ratio sequence {an}, it is known that A3 and A5 are the two roots of the quadratic equation x square + KX + 5 = 0, then the value of A2 × A4 × A6 is?

A3 = a1q ^ 2, A5 = a1q ^ 4, so A3 * A5 = (A1) ^ 2 · Q ^ 6 = (a1q ^ 3) ^ 2 = 5
So a1q ^ 3 = ± root 5
Then A2 × A4 × A6 = a1q × a1q ^ 3 × a1q ^ 5 = (A1) ^ 3 × Q ^ 9 = (A1 × Q ^ 3) ^ 3 = (± root 5) ^ 3
=The root number is 5