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Question
Find the roots of the quadratic equation by using the quadratic formula in the following:
`x^2 - 3sqrt(5)x + 10 = 0`
Solution
The quadratic formula for finding the roots of quadratic equation
ax2 + bx + c = 0, a ≠ 0 is given by,
x = `(-b +- sqrt(b^2 - 4ac))/(2a)`
∴ x = `(-(-3sqrt(5)) +- sqrt((-3sqrt(5))^2 - 4(1)(10)))/(2(1))`
= `(3sqrt(5) +- sqrt(5))/2`
= `2sqrt(5), sqrt(5)`
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