Question

find the point on the x-axis which are at the distance of 2 under root 5 from the point 74 how many such point are there

Answer 1

Heya Mate

(•) Something you'd fall for in near future :p Circles

✓✓ A circle with centre ( 7 , 4 ) with radius ( 2√5 ) intersecting the x - axis is all you seem to require

So,

$(x - 7) {}^{2} + (y - 4) {}^{2} = 20$

^^ The above goes for the circle and as for its intersection at x - axis +_+

$y = 0 \\ = > (x - 7) {}^{2} + {4}^{2} = 20 \\ = > |x - 7| = 2$

And so, as it seems, there are two points,

-> ( 9 , 0 ) and ( 5 , 0 ) that lies on the x - axis fulfilling your demand :wink:

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Have a great day