Question

p+q=-2 and pq=-8 and p>q what is the value of p and q

Answer 1

Solution

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If p+q and pq are known then quadratic equation corresponding to roots as p and q is given by,

x

2

−(p+q)x+pq=0

⇒x

2

−2x−24=0, substitute the given values

⇒x

2

−6x+4x−24=0, split the middle term

⇒(x

2

−6x)+(4x−24)=0, group pair of terms

⇒x(x−6)+4(x−6)=0, factor each binomials

⇒(x−6)(x+4)=0, factor out common factor

⇒x=6 or x=−4, set each factor to 0

Hence p and q are 6 and −4

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Answer 2

Answer:

value of p is multiple of 1 and value of q will be multiple of 4. Therefore we can say that p≥q will be 1≥ 4