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Question Number 183076 by Engr_Jidda last updated on 19/Dec/22

	Answered by TheSupreme last updated on 21/Dec/22

	$t = t a n (x)$ $10 ⩾ t ⩾ \frac{7}{3}$ ${(t - 2)}^{π} + {(t + 5)}^{π} = {(3 t - 7)}^{π} + {(10 - t)}^{π}$ $t - 2 = 10 - t \lor t + 5 = 3 t - 7$ $t = 6 \lor t = 6 ✓ t = 6 i s a s o l u t i o n$ $t - 2 = 3 t - 7 \lor 10 - t = t + 5$ $t = \frac{5}{2} \lor t = \frac{5}{2} ✓ i s a s o l u t i o n$ $w e h a v e t o p r o o v e t h a t t h e r e a r e o n l y 2 s o l u t i o n s$
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