You can
put this solution on YOUR website!Solve by completing the square:
1)
First, subtract 3 from both sides.
Now complete the square in the x-terms by adding the square of half the x-coefficient (that's the 4) to both sides...so you'll be adding
to both sides.
Simplify.
Now factor the left side.
Rewrite this as:
Now take the square root of both sides.
or
Finally, subtract 2 from both sides of each equation.
or
2)
Subtract 5x from both sides.
Complete the square in the x-terms by adding the square of half the x-coeffient (that's the -5) to both sides....so you'll be adding
to both sides.
Simplify.
Now factor the left side.
Rewrite this as:
Now take the square root of both sides.
or
Add
to both sides of each equation.
or
Simplify.
or
3)
First, you need to make the coefficient of
equal to 1 and you can do this simply by dividing everything by 2.
Now you'll proceed as above, add
to both sides.
Complete the square in the x-terms by adding the square of half the x-coefficient to both sides.
Simplify.
Now factor the left side.
Take the square root of both sides.
or
Now add 2 to both sides of each equation.
or
This should give you a good idea on how to do the remaining problem.
The answers are:
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