Find the solutions of the equation 4x^2 + 3 = 2x

Find the solutions of the equation

4x^2 + 3 = 2x

Solutions

Expert Solution

Answer)

4x2+3 = 2x

let's rearrange it and write again

4x2- 2x+3=0

It is a quadratic equation,let's solve it using quadratic formula. According to quadratic formula-:

x= (-b D)/2a

Here D is the discriminant, a is coefficient of x2,b is the coefficient of 'x' and 'c' is constant term present in the equation.

a=4,b=-2 and c=3

D = b2 - 4ac = (-2)2 - 4(4)(3) = 4-48 = -44

Since D < 0 ,roots or solutions of this equation are imaginary.

x = (-(-2)+-44)/2(4) or x = (-(-2)--44)/2(4)

x= (2+2-11)/8 or (2-2-11)/8

=> x = (1+-11)/4 or x = (1--11)/4

Above values of x are the solutions for this equation.These solutions are not real i.e., they are imaginary.

milcah answered 1 year ago

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