Find the zeroes of the polynomial 4root3x^2+4root3x-3root3 also verify the relationship between zeroes and coefficients
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½ and -3/2
Step-by-step explanation:
4root3 x² + 4root3 x - 3root3=0
4x²+ 4x -3 =0
4x² +6x - 2x -3 =0
2x(2x+3) -1(2x+3)=0
(2x-1)(2x+3)=0
x=½ and x= -3/2
alpha + beta = -b/a
1/2-3/2 = -4/4
-1=-1 (proved)
alpha*beta =c/a
1/2*(-3/2)=-3/4(proved)
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