How to get the Coeffcient value?

Hi!

I have the following polynomial: y = 3*x^2 + 2*x + 4;

Generally, we apply the value of 'x' and get the value of y. Is it possible or how to get the 'x' if i give a certain value of 'y'?

Its obvious to have a range of values for 'x'.

Please advise.

Answer 1

[Andrei Bobrov]

y = 4;

xout = roots([3,2,4 - y])

[Sheetansh Kaushik]

thanks mate! could you still explain why its '-y'??

[Andrei Bobrov]

This is solution of the equation y = 3*x^2 + 2*x + 4, here y = 4, i.e.

3*x^2 +2*x + 4 - y = 0

coefficients c of the polynomial:

c = [ 3, 2, 4 - y ]

and him solution

xsol = roots(c) or xsol = roots([ 3, 2, 4 - y ])