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Question
Find the roots of the quadratic equation by using the quadratic formula in the following:
`x^2 + 2sqrt(2)x - 6 = 0`
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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 = `(-2sqrt(2) +- sqrt((2sqrt(2))^2 - 4(1)(-6)))/(2(1))`
= `(-2sqrt(2) +- sqrt(32))/2`
= `(-2sqrt(2) +- 4sqrt(2))/2`
= `sqrt(2), -3sqrt(2)`
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