Discriminant of the following quadratic equation is - -3x2 - 2-2x - 2-3 - 0

⇒ #160; The given quadratic equation is √(3)x^2+2√(2)x 2√(3)=0 , comparing it with ax^2+bx+c=0 ⇒ #160; We get, a=√(3), b=2√(3), c ...

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Standard X

Mathematics

Discriminant

Discriminant ...

Question

Discriminant of the following quadratic equation is :
$\sqrt{3} x^{2} + 2 \sqrt{2} x - 2 \sqrt{3} = 0$

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Solution

$\Rightarrow$ The given quadratic equation is $\sqrt{3} x^{2} + 2 \sqrt{2} x - 2 \sqrt{3} = 0$ , comparing it with $a x^{2} + b x + c = 0$
$\Rightarrow$ We get, $a = \sqrt{3}, b = 2 \sqrt{3}, c = - 2 \sqrt{3}$
$\Rightarrow$ $D = b^{2} - 4 a c$
$= (2 \sqrt{2})^{2} - 4 (\sqrt{3}) (- 2 \sqrt{3})$
$= 8 + 24$
$= 32$
$∴$ Discriminant of the give quadratic equation is $32$ .

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Discriminant of the following quadratic equation is :√3x2+2√2x−2√3=0

⇒ The given quadratic equation is √3x2+2√2x−2√3=0, comparing it with ax2+bx+c=0⇒ We get, a=√3,b=2√3,c=−2√3⇒ D=b2−4ac =(2√2)2−4(√3)(−2√3) =8+24 =32∴ Discriminant of the give quadratic equation is 32.

Discriminant of the following quadratic equation is :
$\sqrt{3} x^{2} + 2 \sqrt{2} x - 2 \sqrt{3} = 0$