Mathematics: If using the method of completing the square to solve the quadratic equation x2 + 20x – 6 = 0, which number would have to be added to complete the square ?

If using the method of completing the square to

brainy51

08.04.2021

100

Step-by-step explanation:

20/2= 10 and 10 squared is 100 but you have to move the -6 to the opposite side

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matt16913

17.01.2020

The side length of the smallest square plate will be 28.28 cm.

Step-by-step explanation:

The length of the chopstick = 40 cm

If chopstick is placed diagonally in a square plate, we can assume that it forms a right angle triangle with two sides of the square.

So, lets say the side of the square is x

Then according to Pythagoras theorem, we can conclude:

$x^{2} +x^{2} =40^{2}$

=> $2x^{2} =1600$

=> $x^{2} =\frac{1600}{2}$

=> $x^{2} =800$

=> $x=\sqrt{2\times2\times2\times10\times10}$

=> $x=20\sqrt{2}$

x = $20\times1.414=28.28$

So, the side length of the smallest square plate will be 28.28 cm.

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