Solve by Completing the Square 2x^2+3x=20

Math
Divide each term by and simplify.
Tap for more steps…
Divide each term in by .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Divide by .
Divide by .
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of .
Add the term to each side of the equation.
Simplify the equation.
Tap for more steps…
Simplify each term.
Tap for more steps…
Apply the product rule to .
Raise to the power of .
Raise to the power of .
Simplify .
Tap for more steps…
Simplify each term.
Tap for more steps…
Apply the product rule to .
Raise to the power of .
Raise to the power of .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps…
Multiply by .
Add and .
Factor the perfect trinomial square into .
Solve the equation for .
Tap for more steps…
Take the square root of each side of the equation to set up the solution for
Remove the perfect root factor under the radical to solve for .
Simplify the right side of the equation.
Tap for more steps…
Rewrite as .
Simplify the numerator.
Tap for more steps…
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Simplify the denominator.
Tap for more steps…
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps…
First, use the positive value of the to find the first solution.
Move all terms not containing to the right side of the equation.
Tap for more steps…
Subtract from both sides of the equation.
Combine the numerators over the common denominator.
Subtract from .
Cancel the common factor of and .
Tap for more steps…
Factor out of .
Cancel the common factors.
Tap for more steps…
Factor out of .
Cancel the common factor.
Rewrite the expression.
Next, use the negative value of the to find the second solution.
Move all terms not containing to the right side of the equation.
Tap for more steps…
Subtract from both sides of the equation.
Combine the numerators over the common denominator.
Subtract from .
Divide by .
The complete solution is the result of both the positive and negative portions of the solution.
Solve by Completing the Square 2x^2+3x=20


Need help with MATH HOMEWORK

We can help your. Our mathematic problem solver answers your math homework questions with step-by-step explanations.

Need help with math? Try to Solve Algebra Math Problems here: https://elanyachtselection.com/

Scroll to top