Solve, five k squared
equal to 11 k minus six.
So first we make it to standard
form of quadratic equation,
then determine the value of a,b,c.
Five k squared minus 11
k plus six equal to zero,
this is the standard form
of quadratic equation.
Now, value of a, b, c,
equal to, a equal to five,
b equal to negative 11
and c equal to to six.
Now using quadratic formula k
equal to negative b plus minus
square root b squared
minus four a c over two a.
Now I'm substituting the value
of a b c, you get k equal to
positive 11 plus minus the square root
negative 11 all squared minus
four times five times six,
over two times five.
Then k equal to 11 plus minus square root
negative 11 squared will be
121 minus four times five
times six equal to 120
over 10 and k equal to
11 plus minus 121 minus 120 equal to
one to square root over ten, all right?
And k equal to 11 plus minus
square root one is one over 10.
Now, splitting into two parts,
we get k equal to 11 plus one
over ten or k equal to
11 minus one over ten.
Now solving this part ,
11 plus one is 12 over ten
and 12 and ten divide by
two which is six over five.
Now 11 minus one, ten over
ten, ten over ten is one,
so our final answer is
k equal to six over five
or k equal to positive one.
