Question

form of quadratic polynomial whose zeros are 3 minus root 3 by 5 and 3 + 2 3 by 5​

Answer 1

Answer:

5x^2-(6+√3)x + (3√3)

Step-by-step explanation:

here, we have to find the quadratic equations whose roots are( 3-√3)/5 and (3+2√3)/5.

let us assume both roots as P and Q.

for making quadratic equations the formula is

x^2 -(P+Q)x + (PQ)

P+Q = 3-√3 + 3+2√3

5 5

= 3-√3+3+2√3

5

= 6+√3

5

PQ= 3-√3 × 3+2√3

5 5

=(3-√3)(3+2√3)

5

=(9+6√3-3√3-6)

5

=(3√3)

5

x^2 -( P+Q)x + (PQ)

x^2-(6+√3)x + (3√3)

5 5

5x^2-(6+√3)x + (3√3)