Question

x²+10x+6=0,Solve the given equation using the general formula.

Answer 1

x= -b +underroot(b^2-4ac)/2a

x=-b - underroot(b^2-4ac)/2a

x= -10+underroot(76)/2, 10-underroot(76)/2a

Answer 2

Solution :

Compare given Quadratic equation

x²+10x+6=0 with ax²+bx+c=0, we get

a = 1 , b = 10, c = 6

discreminant (D) = b² - 4ac

= 10² - 4×1×6

= 100 - 24

D = 76

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We know the quadratic formula:

x = [ -b ± √D ]/(2a)

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x = [ -10±√76 ]/(2×1)

= ( -10±2√19 )/2

= -5±√19

Therefore

x = -5+√19 or x = 5+√19

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