Question

$4 \sqrt{3} x {}^{2} + 5x - 2 \sqrt{2} = 0$
give me the solution ​

Answer 1

Solution:

4√3x² + 5x - 2√2 = 0

Here , we can't find the roots of the given quadratic equation by factorisation because the middle term is a prime number.

Now , finding its roots by quadratic formula

x = - b±√∆/2a

Firstly finding ∆

∆ = b² - 4ac

Where

• b : coefficient of x = 5
• a : coefficient of x² = 4√3
• c : constant term = - 2√2

→ ∆ = 5² - 4(4√3)(-2√2)

→ ∆ = 25 - 16√3(-2√2)

→ ∆ = 25 + 32√6

Substituting in the Quadratic formula

→ x = - 5 ± √25 + 36√6/2(4√3)

→ x = -5±√25 + 36√6/8√3

Hence , x = 5±√25 + 36√6/8√3

Answer 2

Answer:

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