If the product of the root of the equation is x² -3x + k = 10 is -2 then k equals
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Answer:
K=8
Step-by-step explanation:
Let the polynomial be ax^2+bx+c=0
Her a=1, b=(-3), and c=(k-10)
And,
Let the roots of this polynomial be m and n respectively,
Now, we know that (m+n)=(-b/a) and (m)(n)=c/a
ATQ,
(m)(n)=(-2)
=> c/a=(-2)
=> (k-10)/1=(-2)
=> k-10=(-2)
=> k=10-2
=> k=8
Hope it helps :)
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