Question

Find roots using quadratic formula x-1/x-2+x-3/x-4=3× 1/3

Answer 1

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Answer:

5 or 5/2

Step-by-step explanation:

$\frac{(x-1)(x-4+(x-3)(x-2)}{(x-2)(x-4)} =\frac{10}{3}$

$3(x^{2} -5x+4+x^{2} -5x+6)=10(x^{2} -6x +8)$

simplifying this

$4x^{2} -30x+50=0\\or\\2x^{2} -15x+25=0$

by quadratic formula

a=2,b=-15,c=25

$=\frac{15+- 5}{4}$

so either

15+5/4 or 15-5/4

so

5 or 5/2