Math, asked by karankirat345, 1 year ago

if one of the zeroes of the quadratic polynomial 2x^2 + 8x + 2x + 1 is seven times the other then find the value of k.

pls answer fast

i will mrk u brnlst


monalisaborah48: Where is the k in the question??
wardahd1234: your question is wrong
wardahd1234: Edit it

Answers

Answered by monalisaborah48
8

Answer: have a look at the picture

Step-by-step explanation:

Attachments:

Anonymous: products of zeros = c/a
monalisaborah48: Srry mate...sometimes I'm really too careless
monalisaborah48: I have edited it...really sorry for the mistakes
Anonymous: good bro
monalisaborah48: *sis
monalisaborah48: Now I came to know where does my marks goes away....silly mistakes(though this was a big one!)....thanks for informing bro
karankirat345: well tried bro
karankirat345: and thnxx
monalisaborah48: Wels sis...I'm also sis not bro(^_^)
karankirat345: oh sorry my lovely siso
Answered by Shubhendu8898
11

Question:- if one of the zeroes of the quadratic polynomial 2x^2 + 8x + 2k + 1 is seven times the other then find the value of k.

Answer:  5/4

Step-by-step explanation:

Given,

p(x) = 2x² + 8x + 2k + 1

if  the zeroes of following is  α and β ,then according  to question,

β = 7α.

Comparing this  polynomial with standard form of  quadratic polynomial

ax² + bx + c ,

a = 2

b = 8

c = 2k + 1

We know that,

Sum of  zeroes = -b/a

α + β = -8/2

α + 7α = -4

8α = -4

α = -4/8

α = -1/2

β = 7 × -1/2 = -7/2

Now,

Product of zeroes = c/a

αβ = (2k+1)/2

(-1/2) × (-7/2) = (2k+1)/2

7/4 = (2k+1)/2

7/2 = 2k + 1

7 = 4k + 2

4k = 7 - 2

4k = 5

k = 5/4


karankirat345: thnxx bro
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