Question

find the zeroes of the following quadratic polynomials and verify the realtionship between the zeroes and the coefficient of the polynomial (b):q(x)=4root3x^2+5x-2root3
(c):f(x)=5x-4 root 3+2root3x^2​

Answer 1

Answer:

Step-by-step explanation:

q(x) = 4√3 x² +5x -2√3 =0

⇒4√3 x² +8x -3x -2√3=0           ( +5x = +8x -3x )

⇒4x(√3 x+2) -√3(√3x +2) =0     ( taking common)

⇒(√3x +2)(4x -√3) =0

⇒(√3x +2) =0 or (4x-√3) =0

⇒√3x  = -2 or 4x = √3)

⇒ $\frac{2}{\sqrt{3}} \text { or } \frac{\sqrt{3}}{4}}$

please, Similarly solve second one.

Hoping you will understand.