Question

find the quadratic polynomial whose sum of zeroes is - 3/2 root 5 and product of zeroes is -1/2. also find the zeros of the polynomial
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Answer 1

Answer:

Given :-

2x - y = 10

x - 3y = 15

To Find :-

x and y

Solution :-

In 1

Putting the value of x as 0

\sf 2(0) - y = 102(0)−y=10

\sf 0-y=100−y=10

\sf -y=10−y=10

\sf y=-10y=−10

Then

Co-ordinates = (0,-10)

Putting the value of y as 0

\sf 2x-0=102x−0=10

\sf 2x=102x=10

\sf x=\dfrac{10}{2}x=

2

10

\sf x=5x=5

Then

Co-ordinate = (5,0)

In equation 2

Putting the value of x as 0

\sf 0-3y=150−3y=15

\sf -3y=15−3y=15

\sf -y=\dfrac{15}{3}−y=

3

15

\sf -y=5−y=5

\sf y =-5y=−5

Then

Co-ordinate = (0,-5)

Putting the value of y as 0

\sf x-3(0)=15x−3(0)=15

\sf x=15x=15

Then

Co-ordinate = (15,0)