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प्रश्न
Solve the quadratic equation `sqrt(3)x^2 + 10x + 7sqrt(3) = 0` using quadratic formula.
योग
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उत्तर
`sqrt(3)x^2 + 10x + 7sqrt(3) = 0`
Here, `a = sqrt(3), b = 10, c = 7sqrt(3)`
By using quadratic formula
x = `(-b +- sqrt(b^2 - 4ac))/(2a)`
= `(-10 +- sqrt((10)^2 - 4 xx sqrt(3) xx 7sqrt(3)))/(2 xx sqrt(3))`
= `(-10 +- sqrt(100 - 84))/(2sqrt(3))`
= `(-10 +- sqrt(16))/(2sqrt(3))`
= `(-10 +- 4)/(2sqrt(3))`
= `(-10 + 4)/(2sqrt(3)), (-10 - 4)/(2sqrt(3))`
= `(-6)/(2sqrt(3)), (-14)/(2sqrt(3))`
= `(-3)/sqrt(3) xx sqrt(3)/sqrt(3), (-7)/sqrt(3) xx sqrt(3)/sqrt(3)`
x = `-sqrt(3), (-7sqrt(3))/3`
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