Maths Class 10th Polynomials.

Asked by namansharma1385 | 19th Oct, 2020, 10:16: AM

Expert Answer:

Q:  If alpha and beta are the zeros of quadratic polynomial f(x) = x2 - x + 2 then find the value of 1/alpha - 1/beta 
Answer:
begin mathsize 16px style straight x squared space plus space straight x space minus space 2 space
Since space straight alpha space and space straight beta space are space the space zeroes space of space straight x squared space plus space straight x space minus space 2 space.
rightwards double arrow straight x squared space plus space straight x space minus space 2 space space equals space 0 space
rightwards double arrow open parentheses straight x space plus 2 space close parentheses open parentheses straight x space minus 1 space close parentheses space equals space 0
rightwards double arrow straight x space equals space minus space 2 comma space straight x space equals space 1
rightwards double arrow straight alpha space equals space minus 2 space and space straight beta space equals space 1
Therefore space 1 over straight alpha space minus space 1 over straight beta space equals space fraction numerator 1 over denominator negative 2 end fraction space minus space 1 over 1 space equals space minus 3 over 2 end style

Answered by Renu Varma | 19th Oct, 2020, 11:04: AM