Solve for x: x-2/x-3+x-4/x-5=10/3, x≠3,5
Answers
The answer is in the image provided.
Answer:
x
2
−2−3x+x
2
−4−5x
=
3
10
\frac{2 x^{2} -8x-6}{x} = \frac{10}{3}
x
2x
2
−8x−6
=
3
10
6 x^{2} -24x-18=10x6x
2
−24x−18=10x
6 x^{2} -34x-18=06x
2
−34x−18=0 (divide by 2)
3x^{2}-17x-9=03x
2
−17x−9=0
Quadratic formula:
=\frac{-b p/m \sqrt{ b^{2}-4ac } }{2a}
2a
−bp/m
b
2
−4ac
=\frac{17 p/m \sqrt{ 17^{2}-(4)(3)(-9) } }{2(3)}
2(3)
17p/m
17
2
−(4)(3)(−9)
=\frac{17 p/m \sqrt{289+108} }{6}
6
17p/m
289+108
=\frac{17 p/m \sqrt{397} }{6}
6
17p/m
397
=\frac{17 p/m19.925}{6}
6
17p/m19.925
x = \frac{17+19.925}{6} = 6.1541
6
17+19.925
=6.1541
x = \frac{17-19.925}{6}
6
17−19.925
= -0.4875−0.4875
Step-by-step explanation:
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