Solve four x squared plus
two equal to seven x.
So to make it a standard
form of quadratic equation,
we subtract the seven x both side
and you get four x squared
minus seven x plus two
equal to seven x minus seven x.
Then we get four x squared minus
seven x plus two equal to zero.
Now we determine the value of a, b, c
from this standard form
of quadratic equation.
So a equal to four, b
equal to negative seven,
c equal to two.
Now using quadratic formula x equal
to negative b plus, minus square root
b squared minus four ac over two a.
Now substituting the value
of a, b, c in this equation,
we get x equal to seven
plus, minus square root
negative seven squared
minus four times four times
two over two times four.
Then we get x equal to seven plus,
minus a square root negative seven square
is positive 49 minus four times
four times two equal to 32
over two times four is eight.
Then we get x is equal to seven plus,
minus square root 49 minus 32 which
is equal to 17 over eight.
Now you can write into two part,
we get x equal to seven plus
the square root 17 over eight
or x equal to seven minus
the square root 17 over eight
and this is our final answer.
