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α and β are zeroes of the quadratic polynomial x 2 – 6x + y. Find the value of ‘y’ if 3α + 2β = 20.

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one month ago Anand Kumar Pandey
1387 Points
```							Dear StudentLet, f(x) = x² – 6x + yFrom the given,3α + 2β = 20———————(i)From f(x),α + β = 6———————(ii)And,αβ = y———————(iii)Multiply equation (ii) by 2. Then, subtract the whole equation from equation (i),=> α = 20 – 12 = 8Now, substitute this value in equation (ii),=> β = 6 – 8 = -2put the value of α and β in equation (iii) to get the value of y, such as;y = αβ = (8)(-2) = -16Thanks
```
one month ago
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