`6^(2x-1)=24`

`(6^2)^x = 144`

`36^x = 144`

`=>` Không có giá trị nguyên của `x` thỏa mãn.

Chắc đề là thế này?

\(6^2x-1=24\)

<=> 36x=25

<=> x=\(\dfrac{25}{36}\)

(x+2)(x+3)(x+4)(x+5)=24

=>\(\left(x^2+7x+10\right)\left(x^2+7x+12\right)=24\)

=>\(\left(x^2+7x+11\right)^2-1=24\)

=>\(\left(x^2+7x+11\right)^2-25=0\)

=>\(\left(x^2+7x+11-5\right)\left(x^2+7x+11+5\right)=0\)

=>\(\left(x^2+7x+6\right)\left(x^2+7x+16\right)=0\)

=>\(x^2+7x+6=0\)

=>(x+1)(x+6)=0

=>x=-1 hoặc x=-6

Yêu cầu đề bài là gì vậy bạn?

\(a,\Rightarrow 2x^2-10x-3x-2x^2=26\\ \Rightarrow -13x=26\\ \Rightarrow x=-2\\ b, \Rightarrow -2x^2+3x+3-3x-3+2x^2-x=18\\ \Rightarrow -x=18\Rightarrow x=-18\)

Lại là bạn cảm ơn

b: =x-2

d: \(=-x^3+\dfrac{3}{2}-2x\)

Chịu

Sửa đề: \(P=x^4+2x^2+2\left(x^2+1\right)\left(x^2+6x-1\right)+\left(x^2-6x+1\right)^2\)

\(=x^4+2x^2+1+2\cdot\left(x^2+1\right)\left(x^2+6x-1\right)+\left(x^2-6x+1\right)^2-1\)

\(=\left(x^2+1\right)^2+2\cdot\left(x^2+1\right)\left(x^2+6x-1\right)+\left(x^2+6x-1\right)^2-1\)

\(=\left(x^2+1+x^2+6x-1\right)^2-1=\left(2x^2+6x\right)^2-1\)

\(=99^2-1=\left(99-1\right)\left(99+1\right)=98\cdot100=9800\)

Sửa đề: \(P=x^4+2x^2+2\left(x^2+1\right)\left(x^2+6x-1\right)+\left(x^2-6x+1\right)^2\)

\(=x^4+2x^2+1+2\cdot\left(x^2+1\right)\left(x^2+6x-1\right)+\left(x^2-6x+1\right)^2-1\)

\(=\left(x^2+1\right)^2+2\cdot\left(x^2+1\right)\left(x^2+6x-1\right)+\left(x^2+6x-1\right)^2-1\)

\(=\left(x^2+1+x^2+6x-1\right)^2-1=\left(2x^2+6x\right)^2-1\)

\(=99^2-1=\left(99-1\right)\left(99+1\right)=98\cdot100=9800\)

Bài 1

A= (x-2)(2x-1)-2x(x+3)=2x²-x-4x+2-2x²-6x=-11x+2

Bài 1:

a) \(A=\left(x-2\right)\left(2x-1\right)-2x\left(x+3\right)\)

\(A=2x^2-x-4x+2-2x^2-6x\)

\(A=-11x+2\)

b) \(B=\left(3x-2\right)\left(2x+1\right)-\left(6x-1\right)\left(x+2\right)\)

\(B=6x^2+3x-4x-2-6x^2-12x+x+2\)

\(B=-12x\)

c) \(C=6x\left(2x+3\right)-\left(4x-1\right)\left(3x-2\right)\)

\(C=12x^2+18x-12x^2+8x+3x-2\)

\(C=29x-2\)

d) \(D=\left(2x+3\right)\left(5x-2\right)+\left(x+4\right)\left(2x-1\right)-6x\left(2x-3\right)\)

\(D=10x^2-4x+15x-6+2x^2-x+8x-4-12x^2+18x\)

\(D=36x-10\)