[tex]4 \sqrt{3} x {}^{2} + 5x - 2 \sqrt{2} = 0[/tex]
give me the solution
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[tex]4 \sqrt{3} x {}^{2} + 5x - 2 \sqrt{2} = 0[/tex]
give me the solution
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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
→ ∆ = 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:
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