Question

Find number of point of intersection y=2sinx and y=5x^2+2x+3

Answer 1

hey MATE here is solution
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$y = 2 \sin(x) \: \: \: \: - (i)$
and

$y = 5 {x}^{2} + 2x + 3 \: \: \: - (ii)$
are equations of different FUNCTIONS so we can't solve them together and find there roots ,
but , by examining there graphic representation we can tell about the number of intersection of them.

clearly ,
eq. (i) it's a trigonometric function of Sinx
and (ii) eq. is parabola
so they intersect each other two times

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