Question

f(x) = √3x²+8x+5√3 find zeroes​

Answer 1

Answer:

hope your doubt gets clear

by this following solution

Step-by-step explanation:

Given quadratic equation = √3x² - 8x + 4√3 = 0

We should factorize the equation first.

         =√3x²-6x-2x+4√3 = 0

         = √3x(x-2√3)-2(x-2√3) = 0 

         = (√3x-2) (x-2√3) = 0

         = (√3x-2) = 0 , (x-2√3) = 0

         = x = 2/√3 , x = 2√3.

Answer 2

Given

f(x) = √3x²+8x+5√3

Find out

Find the zeros of polynomial

Solution

• √3x² + 8x + 5√3

★ Splitting middle term

➡ √3x² + 3x + 5x + 5√3 = 0

➡ √3x(x + √3) + 5(x + √3) = 0

➡ (x + √3)(√3x + 5) = 0

Either

➡ (x + √3) = 0

➡ x = - √3

Or

➡ (√3x + 5) = 0

➡ √3x = - 5

➡ x = - 5/√3

Hence, - √3 and - 5/√3 are zeros of given polynomial

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