Question

Find qudratic polynomial
of
(4,1/4)
(0,✓5)​

Answer 1

Thnkx for asking question...

(1) (4,1/4)

Sum of zeroes =4

product of zeroes =1/4

Sum of zeroes are =-b/c

product of zeroes =a/c

Sum of zeroes =(-b/c)=-4/c

product of zeroes =a/c=1/4

It shows that

a=1

c=4

but

b=16 .....why ??

It is because Sum ofzeroes will be

-4/c =>>> c=4

-4*4/4

=> -16/4

hence b is 4

Otherwise if we fill like this ...i.e

-4/4=0 ....this is wrong ...

So we write it like 16/4=4 ...Ans .

Hope its help u

(0,✓5)

Sum of zeroes =(-b/c) = 0

product of zero = ✓5 = a/c

Both cases c =??

So it means c=1

Thus quadratic equation is in form

ax²+bx+c

✓5x²+0x+1 Ans ....

Hope its helps u

Answer 2

Answer:

quadratic equation with sum =4,product of roots =1/4

we know that quadratic equation x^2+(sum of roots)x+(product of roots)=0

x^2-4x+1/4=0

4x^2-16x+1=0

(0,√5)

sum of roots =0

product of roots=√5

y^2+(0)y+√5=0

y^2+√5=0

hope it helps

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