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
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Answered by
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Step-by-step explanation:
हनी आगरा इंफॉर्मेशन
Answered by
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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