Question

if p and q are the zeros of 2 X square + 5 x minus 10 the value of PQ is​

Answer 1

Answer:

2x

2

−5x−3=0

2x

2

−6x+x−3=0

(x−3)(2x+1)=0

x=3,−

2

1

Now,

Zeroes of the polynomial x

2

−px+q are double in values to the zeroes of polynomial 2x

2

−5x−3.

Therefore,

Zeroes of polynomial x

2

−px+q will be- 6,−1

Therefore,

Sum of roots =

a

−b

6+(−1)=−(−p)

⇒p=5

Product of root =

a

c

6×−1=q

⇒q=−6

Hence the values of p and q are 5 and −6 respectively.

Answer 2

Answer:

The value of pq is - 5.

Step-by-step-explanation:

The given quadratic polynomial is 2x² + 5x - 10.

We have given that the, p and q are the zeroes of this polynomial.

We have to find the value of pq, i. e. product of the zeroes.

Now, comparing the given quadratic polynomial with ax² + bx + c, we get,

• a = 2
• b = 5
• c = - 10

We know that,

Product of zeroes = c / a

⇒ pq = - 10 / 2

⇒ pq = - 5

∴ The value of pq is - 5.