# Completing square

Solve the quadratic equation:

m2=4m+20 using completing the square method

Result

m1 =  6.899
m2 =  -2.899

#### Solution:

$m^2=4m+20 \ \\ m^2-4m-20=0 \ \\ (m-2)^2-4-20=0 \ \\ (m-2)^2-24=0 \ \\ (m-2)^2=24 \ \\ m-2=\pm \sqrt{ 24 } \ \\ \ \\ m_{1}=m_{ 1 }=2 + \sqrt{ 24 } \doteq 6.899$
$m_{2}=m_{ 2 }=2 - \sqrt{ 24 } \doteq -2.899$

Checkout calculation with our calculator of quadratic equations.

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
Be the first to comment!

Tips to related online calculators

## Next similar math problems:

1. Non linear eqs
Solve the system of non-linear equations: 3x2-3x-y=-2 -6x2-x-y=-7
2. Solve equation
solve equation: ?
3. Quadratic equation
Solve quadratic equation: 2x2-58x+396=0
4. Product
The product of two consecutive odd numbers is 8463. What are this numbers?
5. Quadratic equation
Quadratic equation ? has roots x1 = -26 and x2 = -86. Calculate the coefficients b and c.
6. Square root 2
If the square root of 3m2 +22 and -x = 0, and x=7, what is m?
7. Calculation
How much is sum of square root of six and the square root of 225?
8. Discriminant
Determine the discriminant of the equation: ?
9. Roots
Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
10. Quadratic equation
Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
11. Equation
Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
12. Algebra
X+y=5, find xy (find the product of x and y if x+y = 5)
13. Evaluation of expressions
If a2-3a+1=0, find (i)a2+1/a2 (ii) a3+1/a3
14. Expression with powers
If x-1/x=5, find the value of x4+1/x4
15. Expressions 3
If k(x+6)= 4x2 + 20, what is k(10)=?
16. Equation 23
Find value of unknown x in equation: x+3/x+1=5 (problem finding x)
17. Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?