Question

Giải pt : 

(3x-2)(9x2+6x+4)-(3x-1)(9x2-3x+1)=x-4

9(2x+1)=4(x-5)2

 

MN giúp mk vs ! Sắp nộp r o(╥﹏╥)o

Answer 1

\(9\left(2x+1\right)=4\left(x-5\right)2\)

\(18x+9=4x-40\)

\(18x-4x=-40-9\)

\(14x=-49\)

\(x=-\frac{7}{2}\)

Answer 2

(3x - 2)(9x² + 6x + 4) - (3x - 1)(9x² - 3x + 1) = x - 4

<=> 27x³ - 8 - 27x³ + 1 = x - 4

<=> x - 4 = -7

<=> x=  -3

Vậy S = {-3}

9(2x + 1) = 4(x - 5)²

<=> 18x + 9 - 4x² + 40x - 100 = 0

<=> -4x² + 58x - 91 = 0

<=> -(4x² - 58x + 210,25 - 119,25) = 0

<=> (2x - 14,5)² = 119,25

<=> \(\orbr{\begin{cases}2x-14,5=\sqrt{119,25}\\2x-14,5=-\sqrt{119,25}\end{cases}}\)

<=> \(\orbr{\begin{cases}x=\frac{29+3\sqrt{53}}{4}\\x=\frac{29-3\sqrt{53}}{4}\end{cases}}\)

Vậy S = {...}