Math, asked by Laxangel, 1 year ago

find a quadratic polynomial with -1/4 as the sum and 1/4 as the product of its zeros repectively

Answers

Answered by mudit11
3
Hi there!
We have give that:

Sum = -1/4

Product = 1/4

Now, a general form is x² - (sum)x + (product)

So, x² - ( - 1/4 )x + (1/4) = 0

x² + 1/4x + 1/4 = 0

Take 4 as LCM , we get:


4x² + x + 1 = 0

rockakku: take x as common
rockakku: the roots are -3 and -4
Laxangel: ok i know dat
rockakku: this is one
Laxangel: well i need for 4x square +x+1
rockakku: √D=b²-4ac
rockakku: √D=(1)²-4*1*4
rockakku: √D=1-16=-15
rockakku: x=b+√D/2a. x=1-15/8. x=-7/4
rockakku: x=b-√D/2a. x=1+15/8. x=2
Answered by rockakku
1
p(x)= x^2-(α+β)x+αβ
p(x)=4x^2+x+1
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