Math, asked by leenaalmaas, 5 months ago

square root x^p-q×square root x^p-r×Square root x^r-p=1

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Lesson name exponents and powers

Answers

Answered by josanjasleenkaur
2

Step-by-step explanation:

हनी आगरा इंफॉर्मेशन

Answered by keshavjindal868
2

Answer:

i hope it will help you

Step-by-step explanation:

(q−r)x

2

+(r−p)x+p−q=0

⟹qx

2

−rx

2

+rx−px+p−q=0

⟹q(x

2

−1)+r(x−x

2

)+p(1−x)=0

⟹q(x+1)(x−1)+rx(1−x)+p(1−x)=0

∴q(x+1)−rx−p=0

⟹qx+q−rx−p=0

⟹x(q−r)=p−q

⟹x=

q−r

p−q

(r−p)x

2

+(p−q)x+q−r=0

⟹rx

2

−px

2

+px−qx+q−r=0

⟹r(x

2

−1)+p(x−x

2

)+q(1−x)=0

⟹r(x+1)(x−1)+px(1−x)+q(1−x)=0

∴r(x+1)−px−q=0

⟹rx+r−px−q=0

⟹x(r−p)=q−r

⟹x=

r−p

q−r

They have common roots α+β=

q−r

p−r

β=

q−r

p−r

−(

q−r

p−q

)

⟹β=1

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