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```
if alpha = −1/2 is a root of the quadratic equation 8x 2 − bx− 3 = 0 find the value of b the other root beta (1/alpha−1/beta) 2
if alpha = −1/2 is a root of the quadratic equation 8x2 − bx− 3 = 0 find the value of 	b	the other root beta	(1/alpha−1/beta)2

```
3 years ago

```							If alpha = -1/2 is a root hence alpha  should satisfy this quadratic equationPut x = -1/28* 1/4  +b/2 -3 = 0b/2 = 3-2b/2 = 1Hence b = 2Now equation becomes8x² -2x-3 = 0Then by formula x = 12/16 = 3/4 & x = -1/2Hence Beta = ¾Now(1/alpha - 1/beta)²= (-2 -4/3)² = 100/9Hope it helpsMay be calculation mistake is lresent somewhere but concept is right
```
3 years ago
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