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If alfa and beta r the 2 zeroes of polynomial 25x2-15x+2 find a quadratic polynomial whose zeroes are 1/2alfa and 1/2beta

Posted by Nm ???? 6 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Sagar Av 6 years, 5 months ago

25x^2 - 15x +2 =0 In this equation a=25,b=-15,c=2 a+b=-b/a a*b=c/a a+b= -(-15)/25 a*b= 2/25 Sum= 1/a+1/b b+a/ab 15/25/2/25 3/5x25/2 = 15/2 Product = 1/a *1/b 1/ab P=25/2 ax^2+bx+c=0 25x^2+15/2+25/2 50x^2+15x+25=0 Divide the equation by 5 10x^2+3x+5=0 The equation is 10x^2+3x+5

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