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# Find the Roots of the Following Quadratic Equation: X 2 − 3 √ 5 X + 10 = 0 - Mathematics

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#### Question

Find the roots of the following quadratic equation:

x^2-3sqrt5x+10=0

#### Solution

The given quadratic equation isx^2-3sqrt5x+10=0

On comparing with the standard form of quadratic equation i.e., ax2 + bx + c = 0, we obtain

a=1,b=-3sqrt5,c=10

sqrtD=sqrt(b^2-4ac)=sqrt((-3sqrt5)^2-4xx1xx10)

=sqrt(45-40)

=sqrt5

∴ x=(-b+-sqrtD)/(2a)

=(3sqrt5+-sqrt5)/(2xx1)

=4sqrt5/2or (2sqrt5)/2

=2sqrt5 or sqrt5

Therefore, the roots of the given quadratic equation are2sqrt5and sqrt5.

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Solution Find the Roots of the Following Quadratic Equation: X 2 − 3 √ 5 X + 10 = 0 Concept: Quadratic Equations.
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