Question

solve the question in the attachment ​

Answer 1

$\huge\red{ꪖꪀᦓ᭙ꫀ᥅}$

Given : $p(x) = x² - 4√3x + 3$

On comparing this with ax² + bx + c, we get

a = 1, b = - 4√3, c = 3

It is given that α and β are the zeroes of the above polynomial.

Now,

• Sum of zeroes =$α + β = - b/a$

→ $α + β = - (- 4√3)/1$

→ $α + β = 4√3$

• Product of zeroes =$αβ = c/a$

→ $αβ = 3/1$

→ $αβ = 3$

To Find : $α + β - αβ$

Putting known values in it.

→ $(4√3) - (3)$

→ $4√3 - 3$

→$√3(4 - √3)$✓✓

Answer 2

Step-by-step explanation:

a + b = -b/a

ab = c/a

a + b =

$4 \sqrt{3}$

ab = 3

$4 \sqrt{3} - 3 = 6.92 - 3 = 3.92$

hope it helps

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