Question

solve for x and write your answer correct to 2 decimal place x^2-5x+5=0

Answer 1

6.531 is ur ans dude ..☻︎

Answer 2

Answer :

x= (5+√5)/2 , (5-√5)/2

Step by step solution :

Here, x²-5x+5=0

=>We know that the quadratic equation is

ax²+bx+c=0

- So, a=1 ; b= -5 ; c=5

=> D= b²-4ac = (-5)²-4(1)(5) = 25-20 = 5 >0

=>(Alpha,Beta)

= (-b ±√D) /2a

= [-(-5)±√5 /2(1)]

= [(5±√5) /2 ]

= [(5+√5) /2 , (5-√5) /2]

= ( 5/2+√5/2 , 5/2-√5/2 )

=>Alpha+Beta = -b/a

=> 5 = 5

=>(Alpha)×(Beta) = c/a

=> 5 = 5

-We get,

x= (5+√5)/2 , (5-√5)/2