Question

the roots of alpha and beta of the quadratic equation X square - 5 x + 3 into k - 1 equal to zero are such that alpha minus beta is equal to 1 find the value of k​

Answer 1

Answer:

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Step-by-step explanation:

x2-5x+3(k-1)=0

x2-5x+3k-3=0

alpha+beta=-b/a

=5/1=5 -----Eq-1

alpha-beta=1 (given) ------Eq-2

By solving Equations 1 and 2,

2alpha=6

alpha=3

So, put the value of alpha in Eq-1,

3+beta=5

beta=2

alpha × beta= c/a

3 × 2= 3k-3

6=3k-3

3k=6+3

3k=9

k=9/3

k=3 -: Answer

Answer 2

Answer in attachment.

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