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

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Solution

Given equation,
$\sqrt{3} x^{2} + 2 \sqrt{2} x - 2 \sqrt{3} = 0$
It is in the form of $a x^{2} + b x + c = 0$
Here, $a = \sqrt{3}, b = 2 \sqrt{2} a n d c = - 2 \sqrt{3}$
So, the discriminant is given by $D = b^{2} - 4 a c$
$= (2 \sqrt{2})^{2} - (4 \times \sqrt{3} \times (- 2 \sqrt{3}))$
$D = 8 + 24 = 32$
Thus, the discriminant of the given equation is $32$ .

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Write the discriminant of the following quadratic equation: √3x2+2√2x−2√3=0

Given equation, √3x2+2√2x−2√3=0 It is in the form of ax2+bx+c=0 Here, a=√3,b=2√2andc=−2√3 So, the discriminant is given by D=b2−4ac =(2√2)2−(4×√3×(−2√3)) D=8+24=32 Thus, the discriminant of the given equation is 32.

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