Question

Write the zeros of the quadratic polynomial f (x)=4root3x^2+5x-2root3

Answer 1

Hi ,

f( x ) = 4√3x² + 5x - 2√3

To find zeroes of f( x ) we have

take f ( x ) = 0

4√3x² + 5x - 2√3 = 0

4√3x² + 8x - 3x - 2√3 = 0

4x ( √3x + 2 ) - √3 ( √3x + 2 ) = 0

( √3 x + 2 ) ( 4x - √3 ) = 0

Therefore ,

( √3x + 2 ) = 0 or 4x - √3 = 0

√3x = -2 or 4x = √3

x = -2/√3 or x = √3/4

-2/√3 , √3/4 are two zeroes of f( x ).

I hope this helps you.

: )

Answer 2

Hi friend,

F(X) = 4✓3X²+5X-2✓3

=> 4✓3X²-3X+8X-2✓3

=> ✓3X(4X-✓3)+2(4X-✓3)

=> (4X-✓3) (✓3X+2) = 0

=> (4X-✓3) = 0 OR (✓3X+2) = 0

=> X= ✓3/4 OR X = -2/✓3.

HENCE,

✓3/4 AND -2/✓3 ARE THE TWO ZEROS OF THE POLYNOMIAL 4✓3X²+5X-2✓3.

HOPE IT WILL HELP YOU...... :-)