By completing the square of the equation x² +6x=18 the value of x is -3+√27. The correct option is B.
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.
Writing a quadratic expression so that it contains the perfect square is known as "completing the square" in algebra. The act of "completing the square" can be described as taking the quadratic equation "ax² + bx + c = 0" and changing it to "a(x + p)² + q = 0." This approach is typically used to identify the quadratic equation's roots.
To convert the given quadratic equation into s perfect square divide the coefficient of x by 2 and subtract the negative square from the same.
The equation will be formed as below:-
x² +6x=18
Divide 6 by 2 and proceed.
( x + 3 )² - ( 3 )² -18 = 0
( x + 3 )² - 9 - 18 = 0
( x + 3 )² = 27
x + 3 = ±√27
x = -3±√27
Hence, the correct option is B.
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