SOLUTION: can you help me solve by using the quadratic formula. x^2=x+8

Question 80999: can you help me solve by using the quadratic formula.
x^2=x+8
Answer by praseenakos@yahoo.com(507) (Show Source): You can put this solution on YOUR website!
QUESTION:

solve by using the quadratic formula.
x^2=x+8

ANSWER:

A general quadratic equation is given by,

ax^2 + bx + c = 0 ------------------(1)

Using quadratic formula, its solution is given by,

The given equation is,

x^2=x+8

this can be written as follows....
(here we need to bring the terms from right hand side of the equation to left hand side of the equation.)

x^2 = x + 8

Subtract x from both sides of the equation...then we have

x^2 - x = x - x + 8

==> x^2 -x = 8

Subtract 8 from both sides

==>x^2 -x - 8 = 8 - 8

==> x^2 -x - 8 = 0 ----------------(2)

This is in the form of a quadratic equation.

Now compare (1) and (2)

then we have,

a = 1 b = -1 and c = -8

Now solution is given by,

substitute the values of a, b and in c in this formula,

==>

==>

==>

==>

==> x = (1 + sqrt 33)/2 or (1 - sqrt 33)/2

You can further simplify by giving approximate value os sqrt of 33 which is 5.75

so x = ( 1 + 5.75)/2 or x = (1 -5.75)/2

==> x = 6.75/2 or x = -4.75/2

==> x = 3.375 or x = -2.375

Hope you found the explanation useful.

Regards.

Praseena

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