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# Write the Discriminant of the Following Quadratic Equations: Sqrt3x^2+2sqrt2x-2sqrt3=0 - CBSE Class 10 - Mathematics

ConceptRelationship Between Discriminant and Nature of Roots

#### Question

Write the discriminant of the following quadratic equations:

sqrt3x^2+2sqrt2x-2sqrt3=0

#### Solution

We have been given, sqrt3x^2+2sqrt2x-2sqrt3=0

Now we also know that for an equation ax2 + bx + c = 0, the discriminant is given by the following equation:

D = b2 - 4ac

Now, according to the equation given to us, we have,a=sqrt3, b=2sqrt2 and c=-2sqrt3.

Therefore, the discriminant is given as,

D = (2sqrt2)^2-4(sqrt3)(-2sqrt3)

= 8 + 24

= 32

Therefore, the discriminant of the equation is 32.

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#### APPEARS IN

Solution Write the Discriminant of the Following Quadratic Equations: Sqrt3x^2+2sqrt2x-2sqrt3=0 Concept: Relationship Between Discriminant and Nature of Roots.
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