Question

Write the discriminant of the following quadratic equations.
√3x^2 + 2√2x - 2√3 = 0​

Answer 1

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By using Discriminant formula

$\large \implies \boxed{\sf D = {b}^{2} - 4ac}$

Here

• a = √3
• b = 2√2
• c = - 2√3

Substitute values in formula

$\implies \sf D = {(2 \sqrt{2}) }^{2} - 4 \times \sqrt{3} \times ( - 2 \sqrt{3} )$

$\implies \sf D =8 + 8 \sqrt{9}$

$\implies \sf D =8 + 24$

$\implies \sf D =32$

Answer 2

ANSWER:-

➣

• Discriminant formula:-

$\large \boxed{D = {b}^{2} - 4ac}$

We have:-

$a = \sqrt{3}$

$b = 2{\sqrt{2}}$

$c = - 2{\sqrt{3}}$

Putting values in formula:-

$D = {(2 \sqrt{2}) }^{2} - 4 \times \sqrt{3} \times ( - 2 \sqrt{3})$

$D =8 + 8 \sqrt{9}$

$D =8 + 24$

$\bf{D =32}$