Math, asked by rahulveera3166, 8 months ago

If 2 is a zero of polynomial 4ysquare _ 6y _ k, find the value of k. Also find the other zero.

Answers

Answered by shivangidas2009
0

Answer:

Let the zeroes be m and n

Sum of the zeroes= -b/a

=> m+n= -(-6)/4

=>2+n=3/2

=>n= -1/2

Thus, the other zero is -1/2

Product of the zeroes=c/a

=> mn= -k/4

=>-1= -k/4

=> k=4

Answered by tyrbylent
0

Answer:

{- 0.5, 2} ; k = 4

Step-by-step explanation:

f(y) = 4y² - 6y - k

f(2) = 4(2)² - 6(2) - k = 0 ⇒ k = 4

4y² - 6y - 4 = 0

y_{1} + y_{2} = - \frac{b}{a}

y_{1} × y_{2} = \frac{c}{a}

2 + y_{2} = \frac{3}{2}y_{2} = - 0.5

y_{1} = 2 and y_{2} = - 0.5

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