Question

if p(x)=2x^2-5√3x+5 , then find p(5√3)​

Answer 1

Question:

If p(x) = 2x^2 - 5√3x + 5 ,then find the value of p(5√3).

Note:

If a polynomial P(x) is given then, to find the value of p(a) we just need to put x=a everywhere in the given expression of polynomial p(x).

Solution:

Here,

The given polynomial is;

p(x) = 2x^2 - 5√3x + 5

Thus, to find p(5√3) , put x=5√3 everywhere in the given expression of polynomial p(x).

Hence, we have;

=> p(x) = 2x^2 - 5√3x + 5

=> p(5√3) = 2(5√3)^2 - 5√3(5√3) + 5

=> p(5√3) = 2•75 - 75 + 5

=> p(5√3) = 75 + 5

=> p(5√3) = 80

Hence;

The required value of p(5√3) is 80.

Answer 2

Answer:

p(5√3)=80

Step-by-step explanation:

$p(x) = 2 {x}^{2} - 5 \sqrt{3x} + 5$

therefore,

$p(5 \sqrt{3} ) = 2 (5 \sqrt{3}) {}^{2} - 5 \sqrt{3} (5 \sqrt{3} ) + 5 \\ = 2(25 \times 3) - (25 \times 3) + 5 \\ = 2(75) - 75 + 5 \\ = 150 - 75 + 5 \\ = 75 + 5$

therefore,

$p(5 \sqrt{3} ) = 80$

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hope it helps✌️......