Question

tim x:

a)4x(x-5)-(x-1)(4x-3)=5

b)(3x-4)(x-2)=3x(x-9)-3

c)x^2-81=0

d)3x^2-75=0

e)x^2-14x+3=0

minh can gap. thank you

Answer 1

a) 4x(x - 5) - (x - 1)(4x - 3) = 5

4x² - 20x - (4x² - 3x - 4x + 3) = 5

4x² - 20x - 4x² + 3x + 4x - 3 = 5

-13x - 3 = 5

\(\Rightarrow\) -13x = 8

\(\Rightarrow\) x = \(\dfrac{-8}{13}\)

b) (3x - 4)(x - 2) = 3x(x - 9) - 3

3x² - 6x - 4x + 8 = 3x² - 27x - 3

3x² - 10x + 8 - 3x² + 27x + 3 = 0

17x + 11 = 0

\(\Rightarrow\) 17x = -11

\(\Rightarrow\) x = \(\dfrac{-11}{17}\)

c) x² - 81 = 0

\(\Rightarrow\) x² = 81

\(\Rightarrow\) x = \(\pm\) 9

d) 3x² - 75 = 0

3(x² - 25) = 0

\(\Rightarrow\) x² - 25 = 0

\(\Rightarrow\) x² = 25

\(\Rightarrow\) x = \(\pm\)5

e) x² - 4x + 3 = 0

x² - x - 3x + 3 = 0

(x² - x) - (3x - 3) = 0

x(x - 1) - 3(x - 1) = 0

(x - 3)(x - 1) = 0

\(\Leftrightarrow\left\{{}\begin{matrix}x-3=0\\x-1=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=3\\x=1\end{matrix}\right.\)

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