find the quadratic equation 1/x-2 + 1/x-4=4/3 using quadratic formula
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Step-by-step explanation:
arrow
x−2
1
+
x−4
1
=
3
4
\tt{arrow\dfrac{(x-4)+(x-2)}{(x-2)(x-4)}=\dfrac{4}{3}}arrow
(x−2)(x−4)
(x−4)+(x−2)
=
3
4
\tt{arrow\dfrac{2x-6}{x^2-6x+8}=\dfrac{4}{3}}arrow
x
2
−6x+8
2x−6
=
3
4
6x - 18 = 4x² - 24x + 32
4x² - 30x + 50 = 0
2x² - 15x + 25 = 0
2x² - 10x - 5x + 25 = 0
2x(x - 5) - 5(x - 5) = 0
(2x - 5)(x - 5) = 0
2x - 5 = 0
x - 5 = 0
Hence,
\tt{arrow x =\dfrac{5}{2}\;or\;x=5}arrowx=
2
5
orx=5
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