The number that is added on both sides to make the equation a perfect square is 9 / 4.
What is a quadratic equation?
It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
A square number, sometimes known as a perfect square, is an integer that is the square of another integer, or the result of multiplying another integer by itself.
The given equation is : x² + 3x = 6. The equation is of the form ax² +bx + c = 0.
To solve the equation by completing a square we take half of the b term and square it. This is added to both sides. Comparing the equations we have b=3. We take half of 3 and square it that is :
( b / 2 )² = ( 3 / 2 )² = ( 9 / 4 ).
Now 9 / 4 will be added to both sides of the equation x² + 3x = 6 to make it a perfect square.
Hence, the answer to the question is ( 9 / 4 ).
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