If One root of equation px^2+(√3-√2)x-1=0 is x=1/√3 then find the value of p
Answers
Answered by
0
Step-by-step explanation:
- ⇒ The given quadratic equation is x2+px+q=0 --- ( 1 )
- ⇒ One root of equation ( 1 ) is 2+3
- ⇒ If p and q are rational, then unique value of p and q exist.
- ⇒ If they are not rational, p q may have infinite value as the other root may or may not be irrational.
- Now, let us assume that p and q are rational numbers.
- Then, other root of equation ( 1 ) must be 2−3.
- ⇒ Sum of the roots =−p
- ⇒ −p=2+3+2−3
- ⇒ −p=4
- ∴ p=−4
- Product of roots =q
- ⇒ q=(2+3)(2−3)
- ⇒ q=4−3
- ⇒ q=1
- ∴ p=−4 and q=1
Similar questions