x²–3√6x+12=0,Solve the given equation using the general formula.
Answers
Answered by
6
Hey here is your answer . I hope this correct answer.....
Attachments:
Answered by
3
Solution :
Given Quadratic equation x²-3√6x+12=0
compare this with ax²+bx+c=0, we get
a = 1 , b = -3√6 , c = 12
Discreminant ( D ) = b² - 4ac
= ( -3√6 )² - 4 × 1 × 12
= 54 - 48
D = 6
*****************************************
We know the quadratic formula :
x = [ -b ± √D ]/2a
= [ -(-3√6) ± √6 ]/( 2×1 )
= ( 3√6 ± √6 )/2
= [ √6 ( 3 ± 1 )/2 ]
x = [ √6( 3 + 1 )/2 ] or x = [√6(3-1)]/2
x = (4√6)/2 or x = 2√6/2
Therefore ,
x = 2√6 or x = √6
••••
Given Quadratic equation x²-3√6x+12=0
compare this with ax²+bx+c=0, we get
a = 1 , b = -3√6 , c = 12
Discreminant ( D ) = b² - 4ac
= ( -3√6 )² - 4 × 1 × 12
= 54 - 48
D = 6
*****************************************
We know the quadratic formula :
x = [ -b ± √D ]/2a
= [ -(-3√6) ± √6 ]/( 2×1 )
= ( 3√6 ± √6 )/2
= [ √6 ( 3 ± 1 )/2 ]
x = [ √6( 3 + 1 )/2 ] or x = [√6(3-1)]/2
x = (4√6)/2 or x = 2√6/2
Therefore ,
x = 2√6 or x = √6
••••
Similar questions