Question

the root of equation x³-9x²+a=0 are in A P​

Answer 1

Answer:

Step-by-step explanation:

Since (1−p) is the root of quadratic equation x  

2

+px+(1−p)=0   ...(1)

So, (1−p) satisfies the above equation

∴(1−p)  

2

+p(1−p)+(1−p)=0

⇒(1−p)(1−p+p+1)=0

⇒(1−p)(2)=0⇒p=1

On putting this value of p in equation (1)

x  

2

+x=0⇒x(x+1)=0⇒x=0,−1

December 30, 2019

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Solve related Questions

If the roots of the quadratic equation x  

2

+px+q=0 are tan30  

∘

 and tan15  

∘

, respectively then the value of 2+q−p is  

1 Verified Answer

For r=1,r=2 common root is α, for r=1,r=3 common root is β, for r=2,r=3 common root is γ, then  

β

γ

​  

 is equal to

Answer 2

Step-by-step explanation:

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