Solving Quadratic Equations By Completing The Square Practice Problems

Tags: Your Life Experience EssayEssay On The Catcher In The Rye ThemeProblem Solving Techniques In Artificial IntelligenceHsc Advanced English Essay StructureEssay On My School Bag For Class 1Compare And Contrast Martin Luther King And Malcolm X EssayEssay With QuotesDatabase Homework HelpRhetorical Analysis Example Essay

Try the entered exercise, or type in your own exercise.

Then click the button and select "Solve by completing the square" to compare your answer to Mathway's.

`x^2 x/4 (1/8)^2=3/4 (1/8)^2` `x^2 x/4 1/64=3/4 1/64` Step (iv) Write the left side as a square and simplify the right side.

`(x 1/8)^2=(48 1)/64=49/64` Step (v) Equate and solve `x 1/8= -sqrt(49/64)= -7/8` So `2s^2 5s=3` Divide throughout by 2.

Our app works best with the latest versions of the browsers listed below If you're using an outdated or unsupported browser, some features may not work properly.

Microsoft no longer supports Internet Explorer (IE) so it isn't included in the list below.

`(s 5/4)^2=3/2 25/16=(24 25)/16=49/16` Solve for `s`.

`s 5/4= -sqrt(49/16)` `s=-5/4 -7/4=(-12)/4\ "or"\ 2/4` `s=-3\ text(or)\ 1/2` `3x^2=3-4x` Rearrange: `3x^2 4x=3` Divide throughout by 3: `x^2 4/3x=1` Write left hand side as a perfect square: `x^2 4/3x (2/3)^2=1 (2/3)^2` `(x 2/3)^2=1 4/9=13/9` Solve: `x 2/3= -sqrt(13/9)= -sqrt(13)/3` `x=-2/3 -sqrt(13)/3` `x=-1.869\ "or"\ x=0.535` `9v^2-6v-2=0` Rearrange: `9v^2-6v=2` Divide throughout by 9: `v^2-2/3v=2/9` Write as a perfect square: `v^2-2/3v (1/3)^2=2/9 (1/3)^2` `(v-1/3)^2=2/9 1/9=1/3` Solve: `v-1/3 = -sqrt(1/3)` `v=1/3 -sqrt(1/3)` `v=-0.244\ "or"\ v=0.911` `ax^2 bx c=0` This is a general quadratic equation.

By the way, unless you're told that you to use completing the square, you will probably never use this method in actual practice when solving quadratic equations.

Either some other method (such as factoring) will be obvious and quicker, or else the Quadratic Formula (reviewed next) will be easier to use.


Comments Solving Quadratic Equations By Completing The Square Practice Problems

The Latest from ©