CBSE Class 10 Answered
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![3 x squared minus x minus 4 space comma space t h e n space t h e space v a l u e space o f space 1 over alpha plus 1 over beta.](https://www.topperlearning.com/public/wiris/ckeditor4/plugins/ckeditor_wiris/integration/showimage.php?formula=e229d8a34532192044655e7224e5104d)
Asked by sarithamunnam | 12 Jun, 2019, 18:05: PM
Since α and β are the zeros of the Quadratic Polynomial.
α + β = -b/a
αβ = c/a
We have,
3x2 - x - 4
Here a = 3, b = -1 and c = -4
α + β = -b/a = -(-1)/3 = 1/3
αβ = c/a = -4/ 3
![begin mathsize 16px style To space find colon
1 over straight alpha space plus space 1 over straight beta space
equals space fraction numerator straight alpha space plus straight beta space over denominator αβ end fraction
equals space 1 third space divided by space fraction numerator negative 4 over denominator 3 end fraction
equals 1 third space cross times space fraction numerator 3 over denominator negative 4 end fraction
equals space minus 1 fourth end style](https://images.topperlearning.com/topper/tinymce/cache/e53a5fa31e4a76f3aea2d0f055891ef8.png)
Answered by Yasmeen Khan | 13 Jun, 2019, 10:18: AM
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