solve-for-x-R-x-1-3x-5-4x-7-4x-5-

Question Number 190339 by mr W last updated on 01/Apr/23

s o l v e f o r x \in R

\sqrt{x - 1} + \sqrt{3 x - 5} + \sqrt{4 x - 7} = 4 x - 5

Answered by ajfour last updated on 01/Apr/23

\sqrt{x - 1} + \sqrt{3 x - 5} + \sqrt{4 x - 7}

= \frac{1}{2} (x - 1 + 3 x - 5 + 4 x - 7) + \frac{3}{2}

\Rightarrow {(p - 1)}^{2} + {(q - 1)}^{2} + {(r - 1)}^{2} = 0

p = \sqrt{x - 1} = q = \sqrt{3 x - 5} = r = \sqrt{4 x - 7} = 1

\Rightarrow x = 2, 3 x = 6, 4 x = 8

Commented by mehdee42 last updated on 01/Apr/23

v e r y n i c e

Commented by mr W last updated on 02/Apr/23

Commented by ajfour last updated on 10/Apr/23

https://youtu.be/0I8a9urBLB8

Commented by ajfour last updated on 10/Apr/23

m y l a t e s t y o u t u b e v i d e o e x p l a i n i n g

h o w l o n g i t t a k e s t o e m p t y a w a t e r

f i l l e d t a n k, t h r o u g h a h o l e a t i t s

b o t t o m .

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