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If alpha and beta are zeroes …

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If alpha and beta are zeroes of x²+3x+2 whose zero as shown alpha+1 and beta+1 so find quadratic equations

Posted by Krish Yadav 9 months, 3 weeks ago

CBSE > Class 10 > Mathematics

2 answers

Wdym Bruj 9 months, 2 weeks ago

X²+2x+0

Randheer Chauhan 9 months, 3 weeks ago

first we find the zeros of given polynomial by splitting the middle term method. =x²+2x+x+2 =x(x+2)+1(x+1) =(x+2)(x+1) x= -2 or x=-1 so alpha = -2 and Beta = -1 now alpha+1 = -2+1 = -1 beta+1 = -1+1 = 0 we know that a quadratic equation can be written in the form of x²-(sum of zeros)x+ (product of zeros)=0 so the required polynomial is x²-(-1+0)x+(-1x0)=0 x²+x=0

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