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Given
- If A and B the zeroes of the polynomial
- A Polynomial p(x) = 7x²-8x+k
- Such that A -B = 2
To find
- values of k
Solution
A+B = -8/7
AB = k/7
Now
(A-B)² = (A+B)²-4AB
=>(2)² = (-8/7)² - 4 (k/7)
=>4-64/49= -4 (k/7)
=>(196-64)/ 49 = -4(k/7)
=>132/49 = -4(k/7)
=>-33/49=k/7
=>k = -33/9
=>K = -11/3
Hence value of k is -11/3
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