Find the value of P when p f x square + root 3 minus root 2 into x minus 1 is equal to zero and X = 1 by root 3 is one root of the equation
Answers
Given:
px²+(√3-√2)x-1=0
x=1/√3
To find:
The value of p
Solution:
The value of p is √6.
We can find the value by following the given steps-
We know that the root of an equation is the value of the variable which makes the equation equal to 0.
So, on putting x=1/√3, px²+(√3-√2)x-1 should be equal to 0.
The equation=px²+(√3-√2)x-1=0
The value of the root of the equation=x=1/√3
Now we will put the value of the root in the equation to find p.
On putting the value of x in the equation,
p(1/√3)²+(√3-√2)×1/√3-1=0
p/3+(√3-√2)/√3=1
(√3p+3(√3-√2))/3√3=1
√3p+3(√3-√2)=3√3
√3p+3√3-3√2=3√3
√3p-3√2=0
√3p=3√2
p=3√2/√3
p=√3×√2
p=√6
Therefore, the value of p is √6.
Answer:-
√6 is the final answer
hope you got the answer
and understood the sum (☞ ಠ_ಠ)☞
(firstly i was also in trouble (*_*) ಠ︵ಠ but than I tried again with different style (◍•ᴗ•◍))